diff --git a/pnpm-lock.yaml b/pnpm-lock.yaml
index 15426ba9..a1b85499 100644
--- a/pnpm-lock.yaml
+++ b/pnpm-lock.yaml
@@ -325,68 +325,68 @@ catalogs:
       specifier: 2.0.0-rc.26
       version: 2.0.0-rc.26
     '@vuepress/helper':
-      specifier: 2.0.0-rc.121
-      version: 2.0.0-rc.121
+      specifier: 2.0.0-rc.122
+      version: 2.0.0-rc.122
     '@vuepress/plugin-cache':
-      specifier: 2.0.0-rc.121
-      version: 2.0.0-rc.121
+      specifier: 2.0.0-rc.122
+      version: 2.0.0-rc.122
     '@vuepress/plugin-comment':
-      specifier: 2.0.0-rc.121
-      version: 2.0.0-rc.121
+      specifier: 2.0.0-rc.122
+      version: 2.0.0-rc.122
     '@vuepress/plugin-copy-code':
-      specifier: 2.0.0-rc.121
-      version: 2.0.0-rc.121
+      specifier: 2.0.0-rc.122
+      version: 2.0.0-rc.122
     '@vuepress/plugin-docsearch':
-      specifier: 2.0.0-rc.121
-      version: 2.0.0-rc.121
+      specifier: 2.0.0-rc.122
+      version: 2.0.0-rc.122
     '@vuepress/plugin-git':
-      specifier: 2.0.0-rc.121
-      version: 2.0.0-rc.121
+      specifier: 2.0.0-rc.122
+      version: 2.0.0-rc.122
     '@vuepress/plugin-llms':
-      specifier: 2.0.0-rc.121
-      version: 2.0.0-rc.121
+      specifier: 2.0.0-rc.122
+      version: 2.0.0-rc.122
     '@vuepress/plugin-markdown-chart':
-      specifier: 2.0.0-rc.121
-      version: 2.0.0-rc.121
+      specifier: 2.0.0-rc.122
+      version: 2.0.0-rc.122
     '@vuepress/plugin-markdown-hint':
-      specifier: 2.0.0-rc.121
-      version: 2.0.0-rc.121
+      specifier: 2.0.0-rc.122
+      version: 2.0.0-rc.122
     '@vuepress/plugin-markdown-image':
-      specifier: 2.0.0-rc.121
-      version: 2.0.0-rc.121
+      specifier: 2.0.0-rc.122
+      version: 2.0.0-rc.122
     '@vuepress/plugin-markdown-include':
-      specifier: 2.0.0-rc.121
-      version: 2.0.0-rc.121
+      specifier: 2.0.0-rc.122
+      version: 2.0.0-rc.122
     '@vuepress/plugin-markdown-math':
-      specifier: 2.0.0-rc.121
-      version: 2.0.0-rc.121
+      specifier: 2.0.0-rc.122
+      version: 2.0.0-rc.122
     '@vuepress/plugin-nprogress':
-      specifier: 2.0.0-rc.121
-      version: 2.0.0-rc.121
+      specifier: 2.0.0-rc.122
+      version: 2.0.0-rc.122
     '@vuepress/plugin-photo-swipe':
-      specifier: 2.0.0-rc.121
-      version: 2.0.0-rc.121
+      specifier: 2.0.0-rc.122
+      version: 2.0.0-rc.122
     '@vuepress/plugin-reading-time':
-      specifier: 2.0.0-rc.121
-      version: 2.0.0-rc.121
+      specifier: 2.0.0-rc.122
+      version: 2.0.0-rc.122
     '@vuepress/plugin-replace-assets':
-      specifier: 2.0.0-rc.121
-      version: 2.0.0-rc.121
+      specifier: 2.0.0-rc.122
+      version: 2.0.0-rc.122
     '@vuepress/plugin-seo':
-      specifier: 2.0.0-rc.121
-      version: 2.0.0-rc.121
+      specifier: 2.0.0-rc.122
+      version: 2.0.0-rc.122
     '@vuepress/plugin-shiki':
-      specifier: 2.0.0-rc.121
-      version: 2.0.0-rc.121
+      specifier: 2.0.0-rc.122
+      version: 2.0.0-rc.122
     '@vuepress/plugin-sitemap':
-      specifier: 2.0.0-rc.121
-      version: 2.0.0-rc.121
+      specifier: 2.0.0-rc.122
+      version: 2.0.0-rc.122
     '@vuepress/plugin-watermark':
-      specifier: 2.0.0-rc.121
-      version: 2.0.0-rc.121
+      specifier: 2.0.0-rc.122
+      version: 2.0.0-rc.122
     '@vuepress/shiki-twoslash':
-      specifier: 2.0.0-rc.121
-      version: 2.0.0-rc.121
+      specifier: 2.0.0-rc.122
+      version: 2.0.0-rc.122
     vuepress:
       specifier: 2.0.0-rc.26
       version: 2.0.0-rc.26
@@ -513,7 +513,7 @@ importers:
         version: 7.0.0
       tsdown:
         specifier: catalog:dev
-        version: 0.19.0(synckit@0.11.11)(typescript@5.9.3)
+        version: 0.19.0(synckit@0.11.12)(typescript@5.9.3)
       typescript:
         specifier: catalog:dev
         version: 5.9.3
@@ -567,7 +567,7 @@ importers:
         version: 2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2)
       '@vuepress/shiki-twoslash':
         specifier: catalog:vuepress
-        version: 2.0.0-rc.121(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+        version: 2.0.0-rc.122(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       chart.js:
         specifier: catalog:prod
         version: 4.5.1
@@ -685,7 +685,7 @@ importers:
         version: 3.1.0
       '@vuepress/helper':
         specifier: catalog:vuepress
-        version: 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+        version: 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       '@vueuse/core':
         specifier: catalog:prod
         version: 14.1.0(vue@3.5.27(typescript@5.9.3))
@@ -770,7 +770,7 @@ importers:
     dependencies:
       '@vuepress/helper':
         specifier: catalog:vuepress
-        version: 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+        version: 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       '@vueuse/core':
         specifier: catalog:prod
         version: 14.1.0(vue@3.5.27(typescript@5.9.3))
@@ -821,67 +821,67 @@ importers:
         version: link:../plugins/plugin-search
       '@vuepress/helper':
         specifier: catalog:vuepress
-        version: 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+        version: 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       '@vuepress/plugin-cache':
         specifier: catalog:vuepress
-        version: 2.0.0-rc.121(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+        version: 2.0.0-rc.122(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       '@vuepress/plugin-comment':
         specifier: catalog:vuepress
-        version: 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+        version: 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       '@vuepress/plugin-copy-code':
         specifier: catalog:vuepress
-        version: 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+        version: 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       '@vuepress/plugin-docsearch':
         specifier: catalog:vuepress
-        version: 2.0.0-rc.121(@algolia/client-search@5.35.0)(react@19.2.0)(search-insights@2.17.3)(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+        version: 2.0.0-rc.122(@algolia/client-search@5.35.0)(algoliasearch@5.35.0)(react@19.2.0)(search-insights@2.17.3)(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       '@vuepress/plugin-git':
         specifier: catalog:vuepress
-        version: 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+        version: 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       '@vuepress/plugin-llms':
         specifier: catalog:vuepress
-        version: 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+        version: 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       '@vuepress/plugin-markdown-chart':
         specifier: catalog:vuepress
-        version: 2.0.0-rc.121(chart.js@4.5.1)(echarts@6.0.0)(flowchart.ts@3.0.1)(markdown-it@14.1.0)(markmap-lib@0.18.12(markmap-common@0.18.9))(markmap-toolbar@0.18.12(markmap-common@0.18.9))(markmap-view@0.18.12(markmap-common@0.18.9))(mermaid@11.12.2)(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+        version: 2.0.0-rc.122(chart.js@4.5.1)(echarts@6.0.0)(flowchart.ts@3.0.1)(markdown-it@14.1.0)(markmap-lib@0.18.12(markmap-common@0.18.9))(markmap-toolbar@0.18.12(markmap-common@0.18.9))(markmap-view@0.18.12(markmap-common@0.18.9))(mermaid@11.12.2)(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       '@vuepress/plugin-markdown-hint':
         specifier: catalog:vuepress
-        version: 2.0.0-rc.121(markdown-it@14.1.0)(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+        version: 2.0.0-rc.122(markdown-it@14.1.0)(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       '@vuepress/plugin-markdown-image':
         specifier: catalog:vuepress
-        version: 2.0.0-rc.121(markdown-it@14.1.0)(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+        version: 2.0.0-rc.122(markdown-it@14.1.0)(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       '@vuepress/plugin-markdown-include':
         specifier: catalog:vuepress
-        version: 2.0.0-rc.121(markdown-it@14.1.0)(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+        version: 2.0.0-rc.122(markdown-it@14.1.0)(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       '@vuepress/plugin-markdown-math':
         specifier: catalog:vuepress
-        version: 2.0.0-rc.121(@mathjax/src@4.1.0)(katex@0.16.27)(markdown-it@14.1.0)(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+        version: 2.0.0-rc.122(@mathjax/mathjax-newcm-font@4.1.0)(@mathjax/src@4.1.0)(katex@0.16.27)(markdown-it@14.1.0)(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       '@vuepress/plugin-nprogress':
         specifier: catalog:vuepress
-        version: 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+        version: 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       '@vuepress/plugin-photo-swipe':
         specifier: catalog:vuepress
-        version: 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+        version: 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       '@vuepress/plugin-reading-time':
         specifier: catalog:vuepress
-        version: 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+        version: 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       '@vuepress/plugin-replace-assets':
         specifier: catalog:vuepress
-        version: 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+        version: 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       '@vuepress/plugin-seo':
         specifier: catalog:vuepress
-        version: 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+        version: 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       '@vuepress/plugin-shiki':
         specifier: catalog:vuepress
-        version: 2.0.0-rc.121(@vuepress/shiki-twoslash@2.0.0-rc.121(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))))(@vueuse/core@14.1.0(vue@3.5.27(typescript@5.9.3)))(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+        version: 2.0.0-rc.122(@vuepress/shiki-twoslash@2.0.0-rc.122(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))))(@vueuse/core@14.1.0(vue@3.5.27(typescript@5.9.3)))(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       '@vuepress/plugin-sitemap':
         specifier: catalog:vuepress
-        version: 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+        version: 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       '@vuepress/plugin-watermark':
         specifier: catalog:vuepress
-        version: 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+        version: 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       '@vuepress/shiki-twoslash':
         specifier: catalog:vuepress
-        version: 2.0.0-rc.121(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+        version: 2.0.0-rc.122(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       '@vueuse/core':
         specifier: catalog:prod
         version: 14.1.0(vue@3.5.27(typescript@5.9.3))
@@ -964,32 +964,6 @@ packages:
   '@adobe/css-tools@4.3.3':
     resolution: {integrity: sha512-rE0Pygv0sEZ4vBWHlAgJLGDU7Pm8xoO6p3wsEceb7GYAjScrOHpEo8KK/eVkAcnSM+slAEtXjA2JpdjLp4fJQQ==}
 
-  '@ai-sdk/gateway@1.0.40':
-    resolution: {integrity: sha512-zlixM9jac0w0jjYl5gwNq+w9nydvraAmLaZQbbh+QpHU+OPkTIZmyBcKeTq5eGQKQxhi+oquHxzCSKyJx3egGw==}
-    engines: {node: '>=18'}
-    peerDependencies:
-      zod: ^3.25.76 || ^4.1.8
-
-  '@ai-sdk/provider-utils@3.0.12':
-    resolution: {integrity: sha512-ZtbdvYxdMoria+2SlNarEk6Hlgyf+zzcznlD55EAl+7VZvJaSg2sqPvwArY7L6TfDEDJsnCq0fdhBSkYo0Xqdg==}
-    engines: {node: '>=18'}
-    peerDependencies:
-      zod: ^3.25.76 || ^4.1.8
-
-  '@ai-sdk/provider@2.0.0':
-    resolution: {integrity: sha512-6o7Y2SeO9vFKB8lArHXehNuusnpddKPk7xqL7T2/b+OvXMRIXUO1rR4wcv1hAFUAT9avGZshty3Wlua/XA7TvA==}
-    engines: {node: '>=18'}
-
-  '@ai-sdk/react@2.0.72':
-    resolution: {integrity: sha512-3BdjktQd/k7oulaAjVJcati6Iw2GtKPpqbEpJ/lrRohbjM2EhrDkOXOxzPcHwNrVOznIp/EjGPmt6i9dzPXEAg==}
-    engines: {node: '>=18'}
-    peerDependencies:
-      react: ^18 || ^19 || ^19.0.0-rc
-      zod: ^3.25.76 || ^4.1.8
-    peerDependenciesMeta:
-      zod:
-        optional: true
-
   '@algolia/abtesting@1.1.0':
     resolution: {integrity: sha512-sEyWjw28a/9iluA37KLGu8vjxEIlb60uxznfTUmXImy7H5NvbpSO6yYgmgH5KiD7j+zTUUihiST0jEP12IoXow==}
     engines: {node: '>= 14.0.0'}
@@ -1273,8 +1247,8 @@ packages:
   '@dimforge/rapier3d-compat@0.12.0':
     resolution: {integrity: sha512-uekIGetywIgopfD97oDL5PfeezkFpNhwlzlaEYNOA0N6ghdsOvh/HYjSMek5Q2O1PYvRSDFcqFVJl4r4ZBwOow==}
 
-  '@docsearch/core@4.3.1':
-    resolution: {integrity: sha512-ktVbkePE+2h9RwqCUMbWXOoebFyDOxHqImAqfs+lC8yOU+XwEW4jgvHGJK079deTeHtdhUNj0PXHSnhJINvHzQ==}
+  '@docsearch/core@4.5.4':
+    resolution: {integrity: sha512-DbkfZbJyYAPFJtF71eAFOTQSy5z5c/hdSN0UrErORKDwXKLTJBR0c+5WxE5l+IKZx4xIaEa8RkrL7T28DTCOYw==}
     peerDependencies:
       '@types/react': '>= 16.8.0 < 20.0.0'
       react: '>= 16.8.0 < 20.0.0'
@@ -1287,14 +1261,14 @@ packages:
       react-dom:
         optional: true
 
-  '@docsearch/css@4.3.2':
-    resolution: {integrity: sha512-K3Yhay9MgkBjJJ0WEL5MxnACModX9xuNt3UlQQkDEDZJZ0+aeWKtOkxHNndMRkMBnHdYvQjxkm6mdlneOtU1IQ==}
+  '@docsearch/css@4.5.4':
+    resolution: {integrity: sha512-gzO4DJwyM9c4YEPHwaLV1nUCDC2N6yoh0QJj44dce2rcfN71mB+jpu3+F+Y/KMDF1EKV0C3m54leSWsraE94xg==}
 
-  '@docsearch/js@4.3.2':
-    resolution: {integrity: sha512-xdfpPXMgKRY9EW7U1vtY7gLKbLZFa9ed+t0Dacquq8zXBqAlH9HlUf0h4Mhxm0xatsVeMaIR2wr/u6g0GsZyQw==}
+  '@docsearch/js@4.5.4':
+    resolution: {integrity: sha512-jEBsIklNTevznLZouB0y6SZcaT897gRHnGTzCcH32ibPZRVj/9FyuAM2LUTk61sFdOY79LH4V9rYsIdOe6Wq2g==}
 
-  '@docsearch/react@4.3.2':
-    resolution: {integrity: sha512-74SFD6WluwvgsOPqifYOviEEVwDxslxfhakTlra+JviaNcs7KK/rjsPj89kVEoQc9FUxRkAofaJnHIR7pb4TSQ==}
+  '@docsearch/react@4.5.4':
+    resolution: {integrity: sha512-iBNFfvWoUFRUJmGQ/r+0AEp2OJgJMoYIKRiRcTDON0hObBRSLlrv2ktb7w3nc1MeNm1JIpbPA99i59TiIR49fA==}
     peerDependencies:
       '@types/react': '>= 16.8.0 < 20.0.0'
       react: '>= 16.8.0 < 20.0.0'
@@ -1778,8 +1752,17 @@ packages:
       markdown-it:
         optional: true
 
-  '@mdit/plugin-alert@0.22.3':
-    resolution: {integrity: sha512-9g99rjLCFd8upA/DXbhGmEM7GMFocy6SRk4OekxuAy9t1aDOE/r5IJgUbBIvc9kMkg39ug0yXtMkKwAt2zp5Hg==}
+  '@mdit/helper@0.22.2':
+    resolution: {integrity: sha512-i0mmN0S/BwR7zAKs9TnT9knmMVq3WGDJ3wO9PiETs0vUAwtcXIq5J0k8GAtGgKKTb7WTQuc19yt8uVQGVYfr2Q==}
+    engines: {node: '>= 18'}
+    peerDependencies:
+      markdown-it: ^14.1.0
+    peerDependenciesMeta:
+      markdown-it:
+        optional: true
+
+  '@mdit/plugin-alert@0.22.4':
+    resolution: {integrity: sha512-6j7nvq8MkKrT2DxQ5/dlK3vhwU0qd7i3ShP/Ns41ltyjsT/H4PiXrW6itRPLJqKhX5vAy4akK0djSALkawoFNQ==}
     peerDependencies:
       markdown-it: ^14.1.0
     peerDependenciesMeta:
@@ -1795,8 +1778,8 @@ packages:
       markdown-it:
         optional: true
 
-  '@mdit/plugin-container@0.22.2':
-    resolution: {integrity: sha512-QBBti5EyQzVl/qzFAD9YAhiAB9S2zF/4MPAS4kwm7VkmeYrcj2HpZpA7snMjnWh3CtriDcaIMInhg0vDtDwyfA==}
+  '@mdit/plugin-container@0.22.3':
+    resolution: {integrity: sha512-kf6TGFO/5Z4grQij+lCkogXx3jfC1OFjD8a1YgMD9aZQzDuCWCRLagMFxqCObzPq9NPQKuGw677asFVkrQdTQg==}
     engines: {node: '>= 18'}
     peerDependencies:
       markdown-it: ^14.1.0
@@ -1804,8 +1787,8 @@ packages:
       markdown-it:
         optional: true
 
-  '@mdit/plugin-figure@0.22.2':
-    resolution: {integrity: sha512-mCbrhfbP8VopTzYHw1OnUAEnhh1C24Sx8ExAJpHgnM7HnNF54a+MXbywXZZJAbRZ22l3J2wrxL+IOxKYgNlgdg==}
+  '@mdit/plugin-figure@0.22.3':
+    resolution: {integrity: sha512-aj8I89odgq+twouiPxSLT0zzoM199XzMQhGj9Vs9Y5cpZ4M5Jc0L3KndZGw2gDKu173NaDXfmMEXoVhjntdXHg==}
     engines: {node: '>= 18'}
     peerDependencies:
       markdown-it: ^14.1.0
@@ -1819,8 +1802,8 @@ packages:
     peerDependencies:
       markdown-it: ^14.1.0
 
-  '@mdit/plugin-img-lazyload@0.22.1':
-    resolution: {integrity: sha512-ombpBQqR1zYjtr4/7s8EvIVx/ymtiflWksXropYz81o0I9Bm9Os1UPuNgjwfT/DEhIit4HMaJhjpKhGkYrOKgA==}
+  '@mdit/plugin-img-lazyload@0.22.2':
+    resolution: {integrity: sha512-xXcZUvy8E1K40uEEmofsp/I9lDUQyo0sgX908NffYe0oeAR+yCqcI3N/JduPHfShab5KiKxjSDu8L1epgq1j9Q==}
     engines: {node: '>= 18'}
     peerDependencies:
       markdown-it: ^14.1.0
@@ -1828,8 +1811,8 @@ packages:
       markdown-it:
         optional: true
 
-  '@mdit/plugin-img-mark@0.22.2':
-    resolution: {integrity: sha512-+dfw7HBSg9/ETWguCbhudpIEIsWN81Ro23agEuU8JO1RDpkiMAFVBcUAFqUWr9+4KHQhiBtyEWn1Y7l+d17RXg==}
+  '@mdit/plugin-img-mark@0.22.3':
+    resolution: {integrity: sha512-G403B+KFDaBild0KXZeWS99md3xyiHLLsh/rV+ItrGYS5cqld9zjdt/7aTR6SBn++0t6VQrke1VZBO2N5KBDPQ==}
     engines: {node: '>= 18'}
     peerDependencies:
       markdown-it: ^14.1.0
@@ -1837,8 +1820,8 @@ packages:
       markdown-it:
         optional: true
 
-  '@mdit/plugin-img-size@0.22.4':
-    resolution: {integrity: sha512-+hZqo4Ngo6300Jj/pnrcGs0Pn0Jw5qCA8oLtzJqwn+vZHCqxEiyIN/5FJp8etth0aoIyR2K32WhAf5CC2iRCrg==}
+  '@mdit/plugin-img-size@0.22.5':
+    resolution: {integrity: sha512-Yi4f8QJ1RwcKX6haOeCphSF7RmM5A6q8zN3uutzqu/CtmW5rOpkX0czC8kk/AO8QILrfo3lH8N9DRikRkcsyHw==}
     engines: {node: '>= 18'}
     peerDependencies:
       markdown-it: ^14.1.0
@@ -1846,16 +1829,16 @@ packages:
       markdown-it:
         optional: true
 
-  '@mdit/plugin-include@0.22.3':
-    resolution: {integrity: sha512-v28gdUTUCykFE+D9XoQrmO/S+K2kpl+i1f6f+blKfOXSnwT4+l1GqJkQLy1Zs21HUfWBwPmiIrZ0nnX2SO1dbw==}
+  '@mdit/plugin-include@0.22.4':
+    resolution: {integrity: sha512-nMzPD+Jc15DVRHewjE4wa7+XswM5Un6ku+OtWocmrcvgCfZO0NjGLf3dmnv9DoTVhTglZvBb9cPYGLTJkEmbzg==}
     peerDependencies:
       markdown-it: ^14.1.0
     peerDependenciesMeta:
       markdown-it:
         optional: true
 
-  '@mdit/plugin-katex-slim@0.25.1':
-    resolution: {integrity: sha512-p5VmsAZULsvPy/WDoS8jRwhCyoV3id11BhnwEHoe7BeCPmnCeOAbFIubR8U77AKed4Pgg7UaIa66SndC0WLavg==}
+  '@mdit/plugin-katex-slim@0.25.2':
+    resolution: {integrity: sha512-8JWXkXYgfW0tdOsTKXpAoxbuNr+TY+WJDcajnMcy/lROOCIwUS6S0rRrR76wjDX49ZonX/mnIFyFCk/zPrOdww==}
     engines: {node: '>= 18'}
     peerDependencies:
       katex: ^0.16.25
@@ -1875,20 +1858,23 @@ packages:
       markdown-it:
         optional: true
 
-  '@mdit/plugin-mathjax-slim@0.24.1':
-    resolution: {integrity: sha512-jAT/iFXS4D8tSVdlkl4Uzl3JEYsAkvCWDLzNqYyRZD0TU/Wm5mAbLeTXU8hFOu5nKDRNRrF/iKE41Emy1UJUFg==}
+  '@mdit/plugin-mathjax-slim@0.25.0':
+    resolution: {integrity: sha512-eKwEEyP592z8318xJbHOpADiwYQWN9FkpREPV+9RlkZ2/V1uXnyWUeCsA5Rklh/ZjP4EW2+wsc/cF0DSVhpQEw==}
     engines: {node: '>= 18'}
     peerDependencies:
+      '@mathjax/mathjax-newcm-font': ^4.1.0
       '@mathjax/src': ^4.0.0
       markdown-it: ^14.1.0
     peerDependenciesMeta:
+      '@mathjax/mathjax-newcm-font':
+        optional: true
       '@mathjax/src':
         optional: true
       markdown-it:
         optional: true
 
-  '@mdit/plugin-plantuml@0.23.0':
-    resolution: {integrity: sha512-J72Xtuh1CqI7ntNoY2wNOskfxUNxbsdmIZS0uwLI3poSWohgmJe8ZKJpPSrWFxuW6Iiptie6tbynJ1NDr8jEAA==}
+  '@mdit/plugin-plantuml@0.23.1':
+    resolution: {integrity: sha512-L4gwZTkBZwC6JawwfHoLEJnt7ZolOlXhCkVehPPDHV23sR7i2vguMor8OXdjHCGsj8r5cLVmsRPvzJ5pG+8KVQ==}
     peerDependencies:
       markdown-it: ^14.1.0
     peerDependenciesMeta:
@@ -1930,8 +1916,8 @@ packages:
       markdown-it:
         optional: true
 
-  '@mdit/plugin-tex@0.23.0':
-    resolution: {integrity: sha512-oiNlqzpa4S/6rGm5Ht5IvpzvVsDmm1kF95oxKR0ZQmkeMeSXJLVrYgxmMvt8Oj0D+/F5WJ4mYCD+kXDaLxI0gg==}
+  '@mdit/plugin-tex@0.23.1':
+    resolution: {integrity: sha512-WaqRCFhko82HFZsdo44NNdg18Bsg8p+DWpiaRiLtXMc5diknFDJ60LKCHJO3yma3Du32MgaQdyeGIPYGZs8yzA==}
     engines: {node: '>= 18'}
     peerDependencies:
       markdown-it: ^14.1.0
@@ -1939,8 +1925,8 @@ packages:
       markdown-it:
         optional: true
 
-  '@mdit/plugin-uml@0.23.0':
-    resolution: {integrity: sha512-pxu5jSASNwHe6qWvicEpqo8Kp54onGgHDbO/enG+jURDv19bXHVhbyd7ac50g4ROb9rRS9aPTWZT+PxVBTLjXQ==}
+  '@mdit/plugin-uml@0.23.1':
+    resolution: {integrity: sha512-GaK5Gysdo7VDpWyGKepMh4lHmLe2o1seyKjGhJPZ8MqfcIwyfWvKk0W4dtmG3k48rnUuVC2+RPYNrELDgDHyWg==}
     engines: {node: '>= 18'}
     peerDependencies:
       markdown-it: ^14.1.0
@@ -2464,50 +2450,50 @@ packages:
     cpu: [x64]
     os: [win32]
 
-  '@shikijs/core@3.20.0':
-    resolution: {integrity: sha512-f2ED7HYV4JEk827mtMDwe/yQ25pRiXZmtHjWF8uzZKuKiEsJR7Ce1nuQ+HhV9FzDcbIo4ObBCD9GPTzNuy9S1g==}
-
   '@shikijs/core@3.21.0':
     resolution: {integrity: sha512-AXSQu/2n1UIQekY8euBJlvFYZIw0PHY63jUzGbrOma4wPxzznJXTXkri+QcHeBNaFxiiOljKxxJkVSoB3PjbyA==}
 
-  '@shikijs/engine-javascript@3.20.0':
-    resolution: {integrity: sha512-OFx8fHAZuk7I42Z9YAdZ95To6jDePQ9Rnfbw9uSRTSbBhYBp1kEOKv/3jOimcj3VRUKusDYM6DswLauwfhboLg==}
+  '@shikijs/core@3.22.0':
+    resolution: {integrity: sha512-iAlTtSDDbJiRpvgL5ugKEATDtHdUVkqgHDm/gbD2ZS9c88mx7G1zSYjjOxp5Qa0eaW0MAQosFRmJSk354PRoQA==}
 
   '@shikijs/engine-javascript@3.21.0':
     resolution: {integrity: sha512-ATwv86xlbmfD9n9gKRiwuPpWgPENAWCLwYCGz9ugTJlsO2kOzhOkvoyV/UD+tJ0uT7YRyD530x6ugNSffmvIiQ==}
 
-  '@shikijs/engine-oniguruma@3.20.0':
-    resolution: {integrity: sha512-Yx3gy7xLzM0ZOjqoxciHjA7dAt5tyzJE3L4uQoM83agahy+PlW244XJSrmJRSBvGYELDhYXPacD4R/cauV5bzQ==}
+  '@shikijs/engine-javascript@3.22.0':
+    resolution: {integrity: sha512-jdKhfgW9CRtj3Tor0L7+yPwdG3CgP7W+ZEqSsojrMzCjD1e0IxIbwUMDDpYlVBlC08TACg4puwFGkZfLS+56Tw==}
 
   '@shikijs/engine-oniguruma@3.21.0':
     resolution: {integrity: sha512-OYknTCct6qiwpQDqDdf3iedRdzj6hFlOPv5hMvI+hkWfCKs5mlJ4TXziBG9nyabLwGulrUjHiCq3xCspSzErYQ==}
 
-  '@shikijs/langs@3.20.0':
-    resolution: {integrity: sha512-le+bssCxcSHrygCWuOrYJHvjus6zhQ2K7q/0mgjiffRbkhM4o1EWu2m+29l0yEsHDbWaWPNnDUTRVVBvBBeKaA==}
+  '@shikijs/engine-oniguruma@3.22.0':
+    resolution: {integrity: sha512-DyXsOG0vGtNtl7ygvabHd7Mt5EY8gCNqR9Y7Lpbbd/PbJvgWrqaKzH1JW6H6qFkuUa8aCxoiYVv8/YfFljiQxA==}
 
   '@shikijs/langs@3.21.0':
     resolution: {integrity: sha512-g6mn5m+Y6GBJ4wxmBYqalK9Sp0CFkUqfNzUy2pJglUginz6ZpWbaWjDB4fbQ/8SHzFjYbtU6Ddlp1pc+PPNDVA==}
 
-  '@shikijs/themes@3.20.0':
-    resolution: {integrity: sha512-U1NSU7Sl26Q7ErRvJUouArxfM2euWqq1xaSrbqMu2iqa+tSp0D1Yah8216sDYbdDHw4C8b75UpE65eWorm2erQ==}
+  '@shikijs/langs@3.22.0':
+    resolution: {integrity: sha512-x/42TfhWmp6H00T6uwVrdTJGKgNdFbrEdhaDwSR5fd5zhQ1Q46bHq9EO61SCEWJR0HY7z2HNDMaBZp8JRmKiIA==}
 
   '@shikijs/themes@3.21.0':
     resolution: {integrity: sha512-BAE4cr9EDiZyYzwIHEk7JTBJ9CzlPuM4PchfcA5ao1dWXb25nv6hYsoDiBq2aZK9E3dlt3WB78uI96UESD+8Mw==}
 
-  '@shikijs/transformers@3.20.0':
-    resolution: {integrity: sha512-PrHHMRr3Q5W1qB/42kJW6laqFyWdhrPF2hNR9qjOm1xcSiAO3hAHo7HaVyHE6pMyevmy3i51O8kuGGXC78uK3g==}
+  '@shikijs/themes@3.22.0':
+    resolution: {integrity: sha512-o+tlOKqsr6FE4+mYJG08tfCFDS+3CG20HbldXeVoyP+cYSUxDhrFf3GPjE60U55iOkkjbpY2uC3It/eeja35/g==}
 
-  '@shikijs/twoslash@3.20.0':
-    resolution: {integrity: sha512-fZz6vB9a0M8iuVF/ydIV4ToC09sbOh/TqxXZFWAh5J8bLiPsyQGtygKMDQ9L0Sdop3co0TIC/JsrLmsbmZwwsw==}
+  '@shikijs/transformers@3.22.0':
+    resolution: {integrity: sha512-E7eRV7mwDBjueLF6852n2oYeJYxBq3NSsDk+uyruYAXONv4U8holGmIrT+mPRJQ1J1SNOH6L8G19KRzmBawrFw==}
+
+  '@shikijs/twoslash@3.22.0':
+    resolution: {integrity: sha512-GO27UPN+kegOMQvC+4XcLt0Mttyg+n16XKjmoKjdaNZoW+sOJV7FLdv2QKauqUDws6nE3EQPD+TFHEdyyoUBDw==}
     peerDependencies:
       typescript: '>=5.5.0'
 
-  '@shikijs/types@3.20.0':
-    resolution: {integrity: sha512-lhYAATn10nkZcBQ0BlzSbJA3wcmL5MXUUF8d2Zzon6saZDlToKaiRX60n2+ZaHJCmXEcZRWNzn+k9vplr8Jhsw==}
-
   '@shikijs/types@3.21.0':
     resolution: {integrity: sha512-zGrWOxZ0/+0ovPY7PvBU2gIS9tmhSUUt30jAcNV0Bq0gb2S98gwfjIs1vxlmH5zM7/4YxLamT6ChlqqAJmPPjA==}
 
+  '@shikijs/types@3.22.0':
+    resolution: {integrity: sha512-491iAekgKDBFE67z70Ok5a8KBMsQ2IJwOWw3us/7ffQkIBCyOQfm/aNwVMBUriP02QshIfgHCBSIYAl3u2eWjg==}
+
   '@shikijs/vscode-textmate@10.0.2':
     resolution: {integrity: sha512-83yeghZ2xxin3Nj8z1NMd/NCuca+gsYXswywDy5bHvwlWL8tpTQmzGeUuHd9FC3E/SBEMvzJRwWEOz5gGes9Qg==}
 
@@ -2931,18 +2917,14 @@ packages:
     resolution: {integrity: sha512-LZ2NqIHFhvFwxG0qZeLL9DvdNAHPGCY5dIRwBhyYeU+LfLhcStE1ImjsuTG/WaVh3XysGaeLW8Rqq7cGkPCFvw==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
 
-  '@typescript/vfs@1.6.1':
-    resolution: {integrity: sha512-JwoxboBh7Oz1v38tPbkrZ62ZXNHAk9bJ7c9x0eI5zBfBnBYGhURdbnh7Z4smN/MV48Y5OCcZb58n972UtbazsA==}
+  '@typescript/vfs@1.6.2':
+    resolution: {integrity: sha512-hoBwJwcbKHmvd2QVebiytN1aELvpk9B74B4L1mFm/XT1Q/VOYAWl2vQ9AWRFtQq8zmz6enTpfTV8WRc4ATjW/g==}
     peerDependencies:
       typescript: '*'
 
   '@ungap/structured-clone@1.3.0':
     resolution: {integrity: sha512-WmoN8qaIAo7WTYWbAZuG8PYEhn5fkz7dZrqTBZ7dtt//lL2Gwms1IcnQ5yHqjDfX8Ft5j4YzDM23f87zBfDe9g==}
 
-  '@vercel/oidc@3.0.2':
-    resolution: {integrity: sha512-JekxQ0RApo4gS4un/iMGsIL1/k4KUBe3HmnGcDvzHuFBdQdudEJgTqcsJC7y6Ul4Yw5CeykgvQbX2XeEJd0+DA==}
-    engines: {node: '>= 20'}
-
   '@vitejs/plugin-vue@6.0.1':
     resolution: {integrity: sha512-+MaE752hU0wfPFJEUAIxqw18+20euHHdxVtMvbFcOEpjEyfqXH/5DCoTHiVJ0J29EhTJdoTkjEv5YBKU9dnoTw==}
     engines: {node: ^20.19.0 || >=22.12.0}
@@ -3001,24 +2983,18 @@ packages:
   '@vitest/utils@4.0.17':
     resolution: {integrity: sha512-RG6iy+IzQpa9SB8HAFHJ9Y+pTzI+h8553MrciN9eC6TFBErqrQaTas4vG+MVj8S4uKk8uTT2p0vgZPnTdxd96w==}
 
-  '@volar/language-core@2.4.22':
-    resolution: {integrity: sha512-gp4M7Di5KgNyIyO903wTClYBavRt6UyFNpc5LWfyZr1lBsTUY+QrVZfmbNF2aCyfklBOVk9YC4p+zkwoyT7ECg==}
+  '@volar/language-core@2.4.27':
+    resolution: {integrity: sha512-DjmjBWZ4tJKxfNC1F6HyYERNHPYS7L7OPFyCrestykNdUZMFYzI9WTyvwPcaNaHlrEUwESHYsfEw3isInncZxQ==}
 
-  '@volar/source-map@2.4.22':
-    resolution: {integrity: sha512-L2nVr/1vei0xKRgO2tYVXtJYd09HTRjaZi418e85Q+QdbbqA8h7bBjfNyPPSsjnrOO4l4kaAo78c8SQUAdHvgA==}
+  '@volar/source-map@2.4.27':
+    resolution: {integrity: sha512-ynlcBReMgOZj2i6po+qVswtDUeeBRCTgDurjMGShbm8WYZgJ0PA4RmtebBJ0BCYol1qPv3GQF6jK7C9qoVc7lg==}
 
   '@vscode/markdown-it-katex@1.1.2':
     resolution: {integrity: sha512-+4IIv5PgrmhKvW/3LpkpkGg257OViEhXkOOgCyj5KMsjsOfnRXkni8XAuuF9Ui5p3B8WnUovlDXAQNb8RJ/RaQ==}
 
-  '@vue/compiler-core@3.5.25':
-    resolution: {integrity: sha512-vay5/oQJdsNHmliWoZfHPoVZZRmnSWhug0BYT34njkYTPqClh3DNWLkZNJBVSjsNMrg0CCrBfoKkjZQPM/QVUw==}
-
   '@vue/compiler-core@3.5.27':
     resolution: {integrity: sha512-gnSBQjZA+//qDZen+6a2EdHqJ68Z7uybrMf3SPjEGgG4dicklwDVmMC1AeIHxtLVPT7sn6sH1KOO+tS6gwOUeQ==}
 
-  '@vue/compiler-dom@3.5.25':
-    resolution: {integrity: sha512-4We0OAcMZsKgYoGlMjzYvaoErltdFI2/25wqanuTu+S4gismOTRTBPi4IASOjxWdzIwrYSjnqONfKvuqkXzE2Q==}
-
   '@vue/compiler-dom@3.5.27':
     resolution: {integrity: sha512-oAFea8dZgCtVVVTEC7fv3T5CbZW9BxpFzGGxC79xakTr6ooeEqmRuvQydIiDAkglZEAd09LgVf1RoDnL54fu5w==}
 
@@ -3028,9 +3004,6 @@ packages:
   '@vue/compiler-ssr@3.5.27':
     resolution: {integrity: sha512-Sj7h+JHt512fV1cTxKlYhg7qxBvack+BGncSpH+8vnN+KN95iPIcqB5rsbblX40XorP+ilO7VIKlkuu3Xq2vjw==}
 
-  '@vue/compiler-vue2@2.7.16':
-    resolution: {integrity: sha512-qYC3Psj9S/mfu9uVi5WvNZIzq+xnXMhOwbTFKKDD7b1lhpnn71jXSFdTQ+WsIEk0ONCd7VV2IMm7ONl6tbQ86A==}
-
   '@vue/devtools-api@6.6.4':
     resolution: {integrity: sha512-sGhTPMuXqZ1rVOk32RylztWkfXTRhuS7vgAKv0zjqk8gbsHkJ7xfFf+jbySxt7tWObEJwyKaHMikV/WGDiQm8g==}
 
@@ -3043,13 +3016,8 @@ packages:
   '@vue/devtools-shared@8.0.2':
     resolution: {integrity: sha512-mLU0QVdy5Lp40PMGSixDw/Kbd6v5dkQXltd2r+mdVQV7iUog2NlZuLxFZApFZ/mObUBDhoCpf0T3zF2FWWdeHw==}
 
-  '@vue/language-core@3.0.5':
-    resolution: {integrity: sha512-gCEjn9Ik7I/seHVNIEipOm8W+f3/kg60e8s1IgIkMYma2wu9ZGUTMv3mSL2bX+Md2L8fslceJ4SU8j1fgSRoiw==}
-    peerDependencies:
-      typescript: '*'
-    peerDependenciesMeta:
-      typescript:
-        optional: true
+  '@vue/language-core@3.2.4':
+    resolution: {integrity: sha512-bqBGuSG4KZM45KKTXzGtoCl9cWju5jsaBKaJJe3h5hRAAWpZUuj5G+L+eI01sPIkm4H6setKRlw7E85wLdDNew==}
 
   '@vue/reactivity@3.5.27':
     resolution: {integrity: sha512-vvorxn2KXfJ0nBEnj4GYshSgsyMNFnIQah/wczXlsNXt+ijhugmW+PpJ2cNPe4V6jpnBcs0MhCODKllWG+nvoQ==}
@@ -3065,9 +3033,6 @@ packages:
     peerDependencies:
       vue: 3.5.27
 
-  '@vue/shared@3.5.25':
-    resolution: {integrity: sha512-AbOPdQQnAnzs58H2FrrDxYj/TJfmeS2jdfEEhgiKINy+bnOANmVizIEgq1r+C5zsbs6l1CCQxtcj71rwNQ4jWg==}
-
   '@vue/shared@3.5.27':
     resolution: {integrity: sha512-dXr/3CgqXsJkZ0n9F3I4elY8wM9jMJpP3pvRG52r6m0tu/MsAFIe6JpXVGeNMd/D9F4hQynWT8Rfuj0bdm9kFQ==}
 
@@ -3087,15 +3052,16 @@ packages:
   '@vuepress/core@2.0.0-rc.26':
     resolution: {integrity: sha512-Wyiv9oRvdT0lAPGU0Pj1HetjKicbX8/gqbBVYv2MmL7Y4a3r0tyQ92IdZ8LHiAgPvzctntQr/JXIELedvU1t/w==}
 
-  '@vuepress/helper@2.0.0-rc.121':
-    resolution: {integrity: sha512-Jd67pS9n1BIy17hct+MRwhUoQz5Gu+mMllFoDRVg/0HIETJUjodOzJwR+NPWfGdHHHV8MELUMvuzEA80tOOv5w==}
+  '@vuepress/helper@2.0.0-rc.122':
+    resolution: {integrity: sha512-nNSSF2hPGUNd4doYtNia171qiDlpRQ+CBNM5BfkXowWqrB2K4CnijuvFakEeGPf0pfDUfhn1Nd5OlfLbufGLuw==}
     peerDependencies:
       vuepress: 2.0.0-rc.26
 
-  '@vuepress/highlighter-helper@2.0.0-rc.118':
-    resolution: {integrity: sha512-9LH7QrMPKzFB+XIWEwd8CY6CaPOTG6FE7RJ4Uj7iSNsjvUFCoMrxspvVpURoh/e12tRuSu3HGx3j02W8Vip/9g==}
+  '@vuepress/highlighter-helper@2.0.0-rc.122':
+    resolution: {integrity: sha512-32cxXjSm7kCvGIeZgjZ3J7g2KGHGJbLV/AmhrM1Qaaa9n1Gv7SVZMhFw0vFh41hGlCQsGnfQdayTeb2XIZ0vsA==}
     peerDependencies:
-      '@vueuse/core': ^14.0.0
+      '@vuepress/helper': 2.0.0-rc.122
+      '@vueuse/core': ^14.2.0
       vuepress: 2.0.0-rc.26
     peerDependenciesMeta:
       '@vueuse/core':
@@ -3104,13 +3070,13 @@ packages:
   '@vuepress/markdown@2.0.0-rc.26':
     resolution: {integrity: sha512-ZAXkRxqPDjxqcG4j4vN2ZL5gmuRmgGH7n0s/7pcWIGFH3BJodp/PXMYCklnne1VwARIim9rqE3FKPB/ifJX0yA==}
 
-  '@vuepress/plugin-cache@2.0.0-rc.121':
-    resolution: {integrity: sha512-iliyOOh3Z37tNU2a0SrHuJLEw2/Yl2MTueI+slqdL0x80JCtM8fR9aBbosik/t/yZ1GenQo9uIFuPQCCV3i5SA==}
+  '@vuepress/plugin-cache@2.0.0-rc.122':
+    resolution: {integrity: sha512-6IrE/S4lOzOBX4czEQU4wE9jS6nSUuD+BVjICP5U5LztWj8MYYZGpTk6hJiAHCEfwmxlW2cOJoGYWWwTzK+09g==}
     peerDependencies:
       vuepress: 2.0.0-rc.26
 
-  '@vuepress/plugin-comment@2.0.0-rc.121':
-    resolution: {integrity: sha512-LUAfz1XfwwmAThaOCD5IHpVztul31JLOaAwHIL01DKgIV4jluJJGtMRL1eDXrAEY4jYifDNS123bNz4jVCi2Pw==}
+  '@vuepress/plugin-comment@2.0.0-rc.122':
+    resolution: {integrity: sha512-noHl6/EjZXd6CitBDX0YROIWyWEZukgSXBLhUfl0QLFZau5V2AB1eFLkUuszJQOR8HiFbGcGkYYY4EgjoCYg7A==}
     peerDependencies:
       '@waline/client': ^3.7.1
       artalk: ^2.9.1
@@ -3124,28 +3090,28 @@ packages:
       twikoo:
         optional: true
 
-  '@vuepress/plugin-copy-code@2.0.0-rc.121':
-    resolution: {integrity: sha512-nZdel63vRNkVe0KPHQpfD2YVBItOEUyyJN/B+Bn6+WJPPdbFjcrP8A9glj9JbYLHE/R/4+dPpep4xCKebnJCnQ==}
+  '@vuepress/plugin-copy-code@2.0.0-rc.122':
+    resolution: {integrity: sha512-tXcSLe9glH8JuvFgwy9NHL66/EwjGJf3MDWDQXLM9eV11hgXW9GBRPXxzFilecMd+d2UgDubrazhDbXDFCyrBg==}
     peerDependencies:
       vuepress: 2.0.0-rc.26
 
-  '@vuepress/plugin-docsearch@2.0.0-rc.121':
-    resolution: {integrity: sha512-mpRB2nVqByU0A8oWa09p5xxtfbMsCzVzuvCqJGhyJ9ixGJvI44O4bCE8LqklboKH4O/2WZvTXDKvdsGUneUBHg==}
+  '@vuepress/plugin-docsearch@2.0.0-rc.122':
+    resolution: {integrity: sha512-/jnBBAQlt61kvFmKJz7AGfCTWHqzIJ+LnVtjiKa/Bqrnui/z+zT5fbbSoQVXLl8VsJO/MP6XtfWJ7lDmrHqMpQ==}
     peerDependencies:
       vuepress: 2.0.0-rc.26
 
-  '@vuepress/plugin-git@2.0.0-rc.121':
-    resolution: {integrity: sha512-Y1FB96CPZkJ4rux8Z//CJb0BAEXLK9laYRS9BsU7OrqAY9ZwAIhdUsRCcpmJ61gruRVbeEVIm9VlFzdWXD8bGg==}
+  '@vuepress/plugin-git@2.0.0-rc.122':
+    resolution: {integrity: sha512-1vC28Omj5MMSF3PxgPmGC0LbB3PH/2ZhNGzmOfDUfGMewQMR5Xw3u9ECrMcRYp0SHLZNRRzTgBhSwQfMORzeTg==}
     peerDependencies:
       vuepress: 2.0.0-rc.26
 
-  '@vuepress/plugin-llms@2.0.0-rc.121':
-    resolution: {integrity: sha512-xY79zISJJG15kurvUVLJTtMQ+st1iHoRw9E6FO0ZozCnADCaSYbIUbivD4yQ2svMiaGPrX/XRTM6rYmxgGEEnQ==}
+  '@vuepress/plugin-llms@2.0.0-rc.122':
+    resolution: {integrity: sha512-/QW22IeainxUuO8uHtfIialer/iR0YbES9HCciHoO+MOTOmPtZpPoxAe46ig7Z65LXfGAV0cZdvstLJbAbFLQw==}
     peerDependencies:
       vuepress: 2.0.0-rc.26
 
-  '@vuepress/plugin-markdown-chart@2.0.0-rc.121':
-    resolution: {integrity: sha512-+REFOme7jHgrYv5J+Db99H+wcQtTQ5HuqEUEzo5nYWLe+KkenMO16Z2ai3RRJu+OOvhJgQeS9x+G18NOjCIAEA==}
+  '@vuepress/plugin-markdown-chart@2.0.0-rc.122':
+    resolution: {integrity: sha512-Xd1Xa5uHXaKgVTvsXkrkNSQwQHNNU6Mp90iPrgGbfec6JxNLsKddxpc41GSh7Gm/R3/BVLm5GlyA6NrLDSfJAw==}
     peerDependencies:
       chart.js: ^4.4.7
       echarts: ^6.0.0
@@ -3171,23 +3137,23 @@ packages:
       mermaid:
         optional: true
 
-  '@vuepress/plugin-markdown-hint@2.0.0-rc.121':
-    resolution: {integrity: sha512-bM+fbP/X1/Wtmb3vpt0Ef0i7/NIVg3kzU7oJfJRFP0OOgTHGnfmAzwOB1r/JFrMuHIHspFgg3gyAM4IP8LP9bg==}
+  '@vuepress/plugin-markdown-hint@2.0.0-rc.122':
+    resolution: {integrity: sha512-iPcc7mNIepRWq8uLstQojj7jivBD5hAr1wR4+NWTi9MtOXpx7OKFmzTP/wHixmGDPeaj5nHOrDbeEr2ps5xf7A==}
     peerDependencies:
       vuepress: 2.0.0-rc.26
 
-  '@vuepress/plugin-markdown-image@2.0.0-rc.121':
-    resolution: {integrity: sha512-vDqLKiSHLi7lyoqdZNyzqLkiVmhnzd/IXxuGmtbrEy/qZwzQAWvyxOU9DOxfVseH8WkHcNUFe+iIXWr/VVDo4w==}
+  '@vuepress/plugin-markdown-image@2.0.0-rc.122':
+    resolution: {integrity: sha512-/DFnptnld/npozKuId0kSpEvLwKL8YYVWYw5L5msR/QTwwQOiX8QRhCuXjJjSdxsCSaxXbUnV1ccImFIuzCYfw==}
     peerDependencies:
       vuepress: 2.0.0-rc.26
 
-  '@vuepress/plugin-markdown-include@2.0.0-rc.121':
-    resolution: {integrity: sha512-79UkHK1ccNWxlvOl3k57J0bLoAVSklC+Qj7P6jMKk3/2BWPHob2GryXh+vVF9MT2CV7RgNaCCoqZ+e/IOeoc0Q==}
+  '@vuepress/plugin-markdown-include@2.0.0-rc.122':
+    resolution: {integrity: sha512-mTNfPnFHCVyK3+8rwG7dg2Qm57szqL108LbCbTU4If+MduPpnFwGo1TI2qsmWITeO+blk+yugKz7hTM9v1hxOw==}
     peerDependencies:
       vuepress: 2.0.0-rc.26
 
-  '@vuepress/plugin-markdown-math@2.0.0-rc.121':
-    resolution: {integrity: sha512-K5zUaX9IIS6O9Y6A2lmFeIpq8CprKtjCcR/Hk706pNwneUSkRvc7HLbcXicWFaSSem/ITKzIxJuoQ708SZ5kbA==}
+  '@vuepress/plugin-markdown-math@2.0.0-rc.122':
+    resolution: {integrity: sha512-MBn/BDsrIhUED2b0vDWNRH2d9TOjbEfNVRrYTtZBUIe/RDTju9VF58aArZ+KjStqcarKhw2yd8y1mcwuJHqqyA==}
     peerDependencies:
       '@mathjax/src': ^4.0.0
       katex: ^0.16.21
@@ -3198,55 +3164,55 @@ packages:
       katex:
         optional: true
 
-  '@vuepress/plugin-nprogress@2.0.0-rc.121':
-    resolution: {integrity: sha512-lLYIvL7x13wsEoZX/5Y9dYdqwVK3eSwPr4tTq143CYe5+H/InDZvL71NccjyJqUU8lUIWGmH6PaXnaSPBGLtvA==}
+  '@vuepress/plugin-nprogress@2.0.0-rc.122':
+    resolution: {integrity: sha512-Re0ROLib35loHUoxuNgWNrDnOtAomHVwhYGcFX4tCJM8KCllTCqjrtCcxiMWJJNLcGtFN678c2mIQvtFgI0w4Q==}
     peerDependencies:
       vuepress: 2.0.0-rc.26
 
-  '@vuepress/plugin-photo-swipe@2.0.0-rc.121':
-    resolution: {integrity: sha512-fgQifAz9g6otV25QG/Nkva/q3+4ImUE9lo94Wv/2JGhv56AODTJ6i7p+H9PBYqjDDVqDo14XRckoPU5uPLoTfA==}
+  '@vuepress/plugin-photo-swipe@2.0.0-rc.122':
+    resolution: {integrity: sha512-a/sgN49YZ9EJwWnCXrYiGbyb65CSQhBHp2113JbQ86e1IFHxZJmUmRVWYX0lMRsoG9pIvtsaaGLZQOf1WKtRrw==}
     peerDependencies:
       vuepress: 2.0.0-rc.26
 
-  '@vuepress/plugin-reading-time@2.0.0-rc.121':
-    resolution: {integrity: sha512-+1/dWQyGLvx/etS9/fwgyjq5rYK+ymrTi04MUe3/RQ8W8JL66oQwmuI39hqhbZdw0fYia3iN60FlLDOBY0PenQ==}
+  '@vuepress/plugin-reading-time@2.0.0-rc.122':
+    resolution: {integrity: sha512-e6lkCXAtjsEXBklLLhwuAAbKaLyhl2oka+pxxK8YXnYbWmLQYKdG/RL5RIc95FSNbamejZSK0MLSc5YfoTlBsQ==}
     peerDependencies:
       vuepress: 2.0.0-rc.26
 
-  '@vuepress/plugin-replace-assets@2.0.0-rc.121':
-    resolution: {integrity: sha512-iSgq0mktituYcpthardbVzRZBVf4Pa6xybri84Q4akvFO3xe5wwhpbvMesLIaUJmwRj80S4Sl+62Vtv0/SVA3w==}
+  '@vuepress/plugin-replace-assets@2.0.0-rc.122':
+    resolution: {integrity: sha512-JIsq780JCcRRthoapPhyAmO1wpzC4fw0rFh1p5ks4XBQCrXRoY/jV+jl7FpdefOrsN7szm7OkIZxc7UnYxx8kw==}
     peerDependencies:
       vuepress: 2.0.0-rc.26
 
-  '@vuepress/plugin-seo@2.0.0-rc.121':
-    resolution: {integrity: sha512-wN6YJnEvGIzG3xuNmTmvpOP4CPgeYleiixZb85bDi+l92tfFBBZcB3dVmiMQKc5XEcuMhgxMa8uUhwrYQ73dGA==}
+  '@vuepress/plugin-seo@2.0.0-rc.122':
+    resolution: {integrity: sha512-C2CXn03iFiIejZ7wY9tM2GMzuHlF/MtaZovk2t+Yy3XOpUGo4qO2ilU88C/iSinieu83F0ubasn0V3zF6N9YvA==}
     peerDependencies:
       vuepress: 2.0.0-rc.26
 
-  '@vuepress/plugin-shiki@2.0.0-rc.121':
-    resolution: {integrity: sha512-GdiB5MstjswjoFel9rJCRePexYFPPZGCjf6goHR4w1Cror1qQG3dsblRKR2XDEpO+bcFo4pAi6PNKQP1H+5GSw==}
+  '@vuepress/plugin-shiki@2.0.0-rc.122':
+    resolution: {integrity: sha512-Fe4URmpmJDHwczo0U5sSNj5C+akVaZDh2922HsRDw/3mS04evs5h1GNMhVcRFTGAMm9Qw170eWL3TARC2BJroQ==}
     peerDependencies:
-      '@vuepress/shiki-twoslash': 2.0.0-rc.121
+      '@vuepress/shiki-twoslash': 2.0.0-rc.122
       vuepress: 2.0.0-rc.26
     peerDependenciesMeta:
       '@vuepress/shiki-twoslash':
         optional: true
 
-  '@vuepress/plugin-sitemap@2.0.0-rc.121':
-    resolution: {integrity: sha512-Tm2tElhcZ8DV8ZglkLgzC5NlfT0KVdzyYpjFQp9wRbgWsl+L9YngAe0SJ9OhpnVC2v9jyu4CyNOmffNgc1s2zg==}
+  '@vuepress/plugin-sitemap@2.0.0-rc.122':
+    resolution: {integrity: sha512-wXeOwgGvkIQkpOcF9QVVKvmZ+coPOaL44slAiO4ueWqK6wmJMpaHeSHWGiYERk6RwFSZWl3KK37MT+15ADrGLw==}
     peerDependencies:
       vuepress: 2.0.0-rc.26
 
-  '@vuepress/plugin-watermark@2.0.0-rc.121':
-    resolution: {integrity: sha512-we0xcYcn70ANydEn67Gn0eFK2REHmSxOifwLOo4mjEP+AEiHalhTj65ZVct8rsIbtNbCpb47xnecG1es+9E8BQ==}
+  '@vuepress/plugin-watermark@2.0.0-rc.122':
+    resolution: {integrity: sha512-OGqi6B0fwJlisAVn8az8pQGdVrc6Jc2Mn6gqUZKrnwfBwLK7eUH494OOwbwH1IZhkfVAfVRW57U7fFsKlREkrg==}
     peerDependencies:
       vuepress: 2.0.0-rc.26
 
   '@vuepress/shared@2.0.0-rc.26':
     resolution: {integrity: sha512-Zl9XNG/fYenZqzuYYGOfHzjmp1HCOj68gcJnJABOX1db0H35dkPSPsxuMjbTljClUqMlfj70CLeip/h04upGVw==}
 
-  '@vuepress/shiki-twoslash@2.0.0-rc.121':
-    resolution: {integrity: sha512-4W7Xr3I2M5aPeWS4Gv5NRMqmtNFSPiDvSBPVRzK0i+3J4TUW3aEqRmpxsr8Rl4oaO/Rpn+StCKFyGIUZRWXwyg==}
+  '@vuepress/shiki-twoslash@2.0.0-rc.122':
+    resolution: {integrity: sha512-aOcIye7d9NZquDKn9b9JPNr5+HEGBRPHVsmGOe/28VfTkdEyQckxEYzCeHnlMfSpbArr1/T79BKQfBt5f5+gKg==}
     peerDependencies:
       vuepress: 2.0.0-rc.26
 
@@ -3258,6 +3224,11 @@ packages:
     peerDependencies:
       vue: ^3.5.0
 
+  '@vueuse/core@14.2.1':
+    resolution: {integrity: sha512-3vwDzV+GDUNpdegRY6kzpLm4Igptq+GA0QkJ3W61Iv27YWwW/ufSlOfgQIpN6FZRMG0mkaz4gglJRtq5SeJyIQ==}
+    peerDependencies:
+      vue: ^3.5.0
+
   '@vueuse/integrations@14.1.0':
     resolution: {integrity: sha512-eNQPdisnO9SvdydTIXnTE7c29yOsJBD/xkwEyQLdhDC/LKbqrFpXHb3uS//7NcIrQO3fWVuvMGp8dbK6mNEMCA==}
     peerDependencies:
@@ -3303,11 +3274,19 @@ packages:
   '@vueuse/metadata@14.1.0':
     resolution: {integrity: sha512-7hK4g015rWn2PhKcZ99NyT+ZD9sbwm7SGvp7k+k+rKGWnLjS/oQozoIZzWfCewSUeBmnJkIb+CNr7Zc/EyRnnA==}
 
+  '@vueuse/metadata@14.2.1':
+    resolution: {integrity: sha512-1ButlVtj5Sb/HDtIy1HFr1VqCP4G6Ypqt5MAo0lCgjokrk2mvQKsK2uuy0vqu/Ks+sHfuHo0B9Y9jn9xKdjZsw==}
+
   '@vueuse/shared@14.1.0':
     resolution: {integrity: sha512-EcKxtYvn6gx1F8z9J5/rsg3+lTQnvOruQd8fUecW99DCK04BkWD7z5KQ/wTAx+DazyoEE9dJt/zV8OIEQbM6kw==}
     peerDependencies:
       vue: ^3.5.0
 
+  '@vueuse/shared@14.2.1':
+    resolution: {integrity: sha512-shTJncjV9JTI4oVNyF1FQonetYAiTBd+Qj7cY89SWbXSkx7gyhrgtEdF2ZAVWS1S3SHlaROO6F2IesJxQEkZBw==}
+    peerDependencies:
+      vue: ^3.5.0
+
   '@webgpu/types@0.1.66':
     resolution: {integrity: sha512-YA2hLrwLpDsRueNDXIMqN9NTzD6bCDkuXbOSe0heS+f8YE8usA6Gbv1prj81pzVHrbaAma7zObnIC+I6/sXJgA==}
 
@@ -3332,12 +3311,6 @@ packages:
   add-stream@1.0.0:
     resolution: {integrity: sha512-qQLMr+8o0WC4FZGQTcJiKBVC59JylcPSrTtk6usvmIDFUOCKegapy1VHQwRbFMOFyb/inzUVqHs+eMYKDM1YeQ==}
 
-  ai@5.0.72:
-    resolution: {integrity: sha512-LB4APrlESLGHG/5x+VVdl0yYPpHPHpnGd5Gwl7AWVL+n7T0GYsNos/S/6dZ5CZzxLnPPEBkRgvJC4rupeZqyNg==}
-    engines: {node: '>=18'}
-    peerDependencies:
-      zod: ^3.25.76 || ^4.1.8
-
   ajv@6.12.6:
     resolution: {integrity: sha512-j3fVLgvTo527anyYyJOGTYJbG+vnnQYvE0m5mmkc1TK+nxAppkCLMIL0aZ4dblVCNoGShhm+kzE4ZUykBoMg4g==}
 
@@ -3348,8 +3321,8 @@ packages:
     resolution: {integrity: sha512-Y+moNhsqgLmvJdgTsO4GZNgsaDWv8AOGAaPeIeHKlDn/XunoAqYbA+XNpBd1dW8GOXAUDyxC9Rxc7AV4kpFcIg==}
     engines: {node: '>= 14.0.0'}
 
-  alien-signals@2.0.6:
-    resolution: {integrity: sha512-P3TxJSe31bUHBiblg59oU1PpaWPtmxF9GhJ/cB7OkgJ0qN/ifFSKUI25/v8ZhsT+lIG6ac8DpTOplXxORX6F3Q==}
+  alien-signals@3.1.2:
+    resolution: {integrity: sha512-d9dYqZTS90WLiU0I5c6DHj/HcKkF8ZyGN3G5x8wSbslulz70KOxaqCT0hQCo9KOyhVqzqGojvNdJXoTumZOtcw==}
 
   ansi-escapes@4.3.2:
     resolution: {integrity: sha512-gKXj5ALrKWQLsYG9jlTRmR/xKluxHV+Z9QEwNIgCfM1/uwPMCuzVVnh5mwTd+OuBZcwSIMbqssNWRm1lE51QaQ==}
@@ -3663,8 +3636,8 @@ packages:
     resolution: {integrity: sha512-quS9HgjQpdaXOvsZz82Oz7uxtXiy6UIsIQcpBj7HRw2M63Skasm9qlDocAM7jNuaxdhpPU7c4kJN+gA5MCu4ww==}
     engines: {node: '>=18.17'}
 
-  cheerio@1.1.2:
-    resolution: {integrity: sha512-IkxPpb5rS/d1IiLbHMgfPuS0FgiWTtFIm/Nj+2woXDLTZ7fOT2eqzgYbdMlLweqlHbsZjxEChoVK+7iph7jyQg==}
+  cheerio@1.2.0:
+    resolution: {integrity: sha512-WDrybc/gKFpTYQutKIK6UvfcuxijIZfMfXaYm8NMsPQxSYvf+13fXUJ4rztGGbJcBQ/GF55gvrZ0Bc0bj/mqvg==}
     engines: {node: '>=20.18.1'}
 
   chevrotain-allstar@0.3.1:
@@ -3683,6 +3656,10 @@ packages:
     resolution: {integrity: sha512-Wdy2Igu8OcBpI2pZePZ5oWjPC38tmDVx5WKUXKwlLYkA0ozo85sLsLvkBbBn/sZaSCMFOGZJ14fvW9t5/d7kdA==}
     engines: {node: '>=8'}
 
+  ci-info@4.4.0:
+    resolution: {integrity: sha512-77PSwercCZU2Fc4sX94eF8k8Pxte6JAwL4/ICZLFjJLqegs7kCuAsqqj/70NQF6TvDpgFjkubQB2FW2ZZddvQg==}
+    engines: {node: '>=8'}
+
   citty@0.1.6:
     resolution: {integrity: sha512-tskPPKEs8D2KPafUypv2gxwJP8h/OaJmC82QQGGDQcHvXX43xF2VDACcJVmZ0EuSxkpO9Kc4MlrA3q0+FG58AQ==}
 
@@ -4143,9 +4120,6 @@ packages:
   dayjs@1.11.19:
     resolution: {integrity: sha512-t5EcLVS6QPBNqM2z8fakk/NKel+Xzshgt8FFKAn+qwlD1pzZWxh0nVCrvFK7ZDb6XucZeF9z8C7CBWTRIVApAw==}
 
-  de-indent@1.0.2:
-    resolution: {integrity: sha512-e/1zu3xH5MQryN2zdVaF0OrdNLUbvWxzMbi+iNA6Bky7l1RoP8a2fIbRocyHclXt/arDrrR6lL3TqFD9pMQTsg==}
-
   debounce@2.2.0:
     resolution: {integrity: sha512-Xks6RUDLZFdz8LIdR6q0MTH44k7FikOmnh5xkSjMig6ch45afc8sjTjRQf3P6ax8dMgcQrYO/AR2RGWURrruqw==}
     engines: {node: '>=18'}
@@ -4328,6 +4302,10 @@ packages:
     resolution: {integrity: sha512-FDWG5cmEYf2Z00IkYRhbFrwIwvdFKH07uV8dvNy0omp/Qb1xcyCWp2UDtcwJF4QZZvk0sLudP6/hAu42TaqVhQ==}
     engines: {node: '>=0.12'}
 
+  entities@7.0.1:
+    resolution: {integrity: sha512-TWrgLOFUQTH994YUyl1yT4uyavY5nNB5muff+RtWaqNVCAK408b5ZnnbNAUEWLTCpum9w6arT70i1XdQ4UeOPA==}
+    engines: {node: '>=0.12'}
+
   env-paths@2.2.1:
     resolution: {integrity: sha512-+h1lkLKhZMTYjog1VEpJNG7NZJWcuc2DDk/qsqSTRRCOXiLjeQ1d1/udrUGhqMxUgAlwKNZ0cf2uqan5GLuS2A==}
     engines: {node: '>=6'}
@@ -4649,10 +4627,6 @@ packages:
   eventemitter3@5.0.1:
     resolution: {integrity: sha512-GWkBvjiSZK87ELrYOSESUYeVIc9mvLLf/nXalMOS5dYrgZq9o5OVkbZAVM06CVxYsCwH9BDZFPlQTlPA1j4ahA==}
 
-  eventsource-parser@3.0.6:
-    resolution: {integrity: sha512-Vo1ab+QXPzZ4tCa8SwIHJFaSzy4R6SHf7BY79rFBDf0idraZWAkYrDjDj8uWaSm3S2TK+hJ7/t1CEmZ7jXw+pg==}
-    engines: {node: '>=18.0.0'}
-
   expand-tilde@2.0.2:
     resolution: {integrity: sha512-A5EmesHW6rfnZ9ysHQjPdJRni0SRar0tjtG5MNtm9n5TUvsYU8oozprtRD4AqHxcZWWlVuAmQo2nWKfN9oyjTw==}
     engines: {node: '>=0.10.0'}
@@ -5107,9 +5081,6 @@ packages:
     resolution: {integrity: sha512-puUZAUKT5m8Zzvs72XWy3HtvVbTWljRE66cP60bxJzAqf2DgICo7lYTY2IHUmLnNpjYvw5bvmoHvPc0QO2a62w==}
     engines: {node: ^16.14.0 || >=18.0.0}
 
-  htm@3.1.1:
-    resolution: {integrity: sha512-983Vyg8NwUE7JkZ6NmOqpCZ+sh1bKv2iYTlUkzlWmA5JD2acKoxd4KVxbMmxX/85mtfdnDmTFoNKcg5DGAvxNQ==}
-
   html-encoding-sniffer@3.0.0:
     resolution: {integrity: sha512-oWv4T4yJ52iKrufjnyZPkrN0CH3QnrUqdB6In1g5Fe1mia8GmF36gnfNySxoZtxD5+NmYw1EElVXiBk93UeskA==}
     engines: {node: '>=12'}
@@ -5127,8 +5098,8 @@ packages:
   html-void-elements@3.0.0:
     resolution: {integrity: sha512-bEqo66MRXsUGxWHV5IP0PUiAWwoEjba4VCzg0LjFJBpchPaTfyfCKTG6bc5F8ucKec3q5y6qOdGyYTSBEvhCrg==}
 
-  htmlparser2@10.0.0:
-    resolution: {integrity: sha512-TwAZM+zE5Tq3lrEHvOlvwgj1XLWQCtaaibSN11Q+gGBAS7Y1uZSWwXXRe4iF6OXnaq1riyQAPFOBtYc77Mxq0g==}
+  htmlparser2@10.1.0:
+    resolution: {integrity: sha512-VTZkM9GWRAtEpveh7MSF6SjjrpNVNNVJfFup7xTY3UpFtm67foy9HDVXneLtFVt4pMz5kZtgNcvCniNFb1hlEQ==}
 
   htmlparser2@8.0.2:
     resolution: {integrity: sha512-GYdjWKDkbRLkZ5geuHs5NY1puJ+PXwP7+fHPRz06Eirsb9ugf6d8kkXav6ADhcODhFFPMIXyxkxSuMf3D6NCFA==}
@@ -5517,9 +5488,6 @@ packages:
   json-schema-traverse@1.0.0:
     resolution: {integrity: sha512-NM8/P9n3XjXhIZn1lLhkFaACTOURQXjWhV4BA/RnOv8xvgqtqpAX9IO4mRQxSx1Rlo4tqzeqb0sOlruaOy3dug==}
 
-  json-schema@0.4.0:
-    resolution: {integrity: sha512-es94M3nTIfsEPisRafak+HDLfHXnKBhV3vU5eqPcS3flIWqcxJWgXHXiey3YrpaNsanY5ei1VoYEbOzijuq9BA==}
-
   json-stable-stringify-without-jsonify@1.0.1:
     resolution: {integrity: sha512-Bdboy+l7tA3OGW6FjyFHWkP5LuByj1Tk33Ljyq0axyzdk9//JSi2u3fP1QSmd1KNwq6VOKYGlAu87CisVir6Pw==}
 
@@ -5792,6 +5760,10 @@ packages:
     resolution: {integrity: sha512-B5Y16Jr9LB9dHVkh6ZevG+vAbOsNOYCX+sXvFWFu7B3Iz5mijW3zdbMyhsh8ANd2mSWBYdJgnqi+mL7/LrOPYg==}
     engines: {node: 20 || >=22}
 
+  lru-cache@11.2.6:
+    resolution: {integrity: sha512-ESL2CrkS/2wTPfuend7Zhkzo2u0daGJ/A2VucJOgQ/C48S/zB8MMeMHSGKYpXhIjbPxfuezITkaBH1wqv00DDQ==}
+    engines: {node: 20 || >=22}
+
   magic-string@0.30.21:
     resolution: {integrity: sha512-vd2F4YUyEXKGcLHoq+TEyCjxueSeHnFxyyjNp80yg0XV4vUhnDer/lvvlqM/arB5bXQN5K2/3oinyCRyx8T2CQ==}
 
@@ -6977,12 +6949,12 @@ packages:
     resolution: {integrity: sha512-ObmnIF4hXNg1BqhnHmgbDETF8dLPCggZWBjkQfhZpbszZnYur5DUljTcCHii5LC3J5E0yeO/1LIMyH+UvHQgyw==}
     engines: {node: '>= 0.4'}
 
-  shiki@3.20.0:
-    resolution: {integrity: sha512-kgCOlsnyWb+p0WU+01RjkCH+eBVsjL1jOwUYWv0YDWkM2/A46+LDKVs5yZCUXjJG6bj4ndFoAg5iLIIue6dulg==}
-
   shiki@3.21.0:
     resolution: {integrity: sha512-N65B/3bqL/TI2crrXr+4UivctrAGEjmsib5rPMMPpFp1xAx/w03v8WZ9RDDFYteXoEgY7qZ4HGgl5KBIu1153w==}
 
+  shiki@3.22.0:
+    resolution: {integrity: sha512-LBnhsoYEe0Eou4e1VgJACes+O6S6QC0w71fCSp5Oya79inkwkm15gQ1UF6VtQ8j/taMDh79hAB49WUk8ALQW3g==}
+
   side-channel-list@1.0.0:
     resolution: {integrity: sha512-FCLHtRD/gnpCiCHEiJLOwdmFP+wzCmDEkc9y7NsYxeF4u7Btsn1ZuwgwJGxImImHicJArLP4R0yX4c2KCrMrTA==}
     engines: {node: '>= 0.4'}
@@ -7280,11 +7252,6 @@ packages:
     resolution: {integrity: sha512-BHd6U1VPEIksrXlyXjMmRWO0onmdNPaTAFduzqR3pgjvi7KfmUCAm/0cj49u2D7B0zNjMw02TSeXfinC1hDCXg==}
     engines: {node: '>= 4.7.0'}
 
-  swr@2.3.6:
-    resolution: {integrity: sha512-wfHRmHWk/isGNMwlLGlZX5Gzz/uTgo0o2IRuTMcf4CPuPFJZlq0rDaKUx+ozB5nBOReNV1kiOyzMfj+MBMikLw==}
-    peerDependencies:
-      react: ^16.11.0 || ^17.0.0 || ^18.0.0 || ^19.0.0
-
   sync-child-process@1.0.2:
     resolution: {integrity: sha512-8lD+t2KrrScJ/7KXCSyfhT3/hRq78rC0wBFqNJXv3mZyn6hW2ypM05JmlSvtqRbeq6jqA94oHbxAr2vYsJ8vDA==}
     engines: {node: '>=16.0.0'}
@@ -7297,6 +7264,10 @@ packages:
     resolution: {integrity: sha512-MeQTA1r0litLUf0Rp/iisCaL8761lKAZHaimlbGK4j0HysC4PLfqygQj9srcs0m2RdtDYnF8UuYyKpbjHYp7Jw==}
     engines: {node: ^14.18.0 || >=16.0.0}
 
+  synckit@0.11.12:
+    resolution: {integrity: sha512-Bh7QjT8/SuKUIfObSXNHNSK6WHo6J1tHCqJsuaFDP7gP0fkzSfTxI8y85JrppZ0h8l0maIgc2tfuZQ6/t3GtnQ==}
+    engines: {node: ^14.18.0 || >=16.0.0}
+
   tabbable@6.4.0:
     resolution: {integrity: sha512-05PUHKSNE8ou2dwIxTngl4EzcnsCDZGJ/iCLtDflR/SHB/ny14rXc+qU5P4mG9JkusiV7EivzY9Mhm55AzAvCg==}
 
@@ -7329,10 +7300,6 @@ packages:
   three@0.182.0:
     resolution: {integrity: sha512-GbHabT+Irv+ihI1/f5kIIsZ+Ef9Sl5A1Y7imvS5RQjWgtTPfPnZ43JmlYI7NtCRDK9zir20lQpfg8/9Yd02OvQ==}
 
-  throttleit@2.1.0:
-    resolution: {integrity: sha512-nt6AMGKW1p/70DF/hGBdJB57B8Tspmbp5gfJ8ilhLnt7kkr2ye7hzD6NVG8GGErk2HWF34igrL2CXmNIkzKqKw==}
-    engines: {node: '>=18'}
-
   through@2.3.8:
     resolution: {integrity: sha512-w89qg7PI8wAdvX60bMDP+bFoD5Dvhm9oLheFp5O4a2QF0cSBGsBX4qZmadPMvVqlLJBBci+WqGGOAPvcDeNSVg==}
 
@@ -7372,8 +7339,8 @@ packages:
     resolution: {integrity: sha512-41wJyvKep3yT2tyPqX/4blcfybknGB4D+oETKLs7Q76UiPqRpUJK3hr1nxelyYO0PHKVzJwlu0aCeEAsGI6rpw==}
     engines: {node: '>=20'}
 
-  tokenx@1.2.1:
-    resolution: {integrity: sha512-lVhFIhR2qh3uUyUA8Ype+HGzcokUJbHmRSN1TJKOe4Y26HkawQuLiGkUCkR5LD9dx+Rtp+njrwzPL8AHHYQSYA==}
+  tokenx@1.3.0:
+    resolution: {integrity: sha512-NLdXTEZkKiO0gZuLtMoZKjCXTREXeZZt8nnnNeyoXtNZAfG/GKGSbQtLU5STspc0rMSwcA+UJfWZkbNU01iKmQ==}
 
   toml-eslint-parser@1.0.2:
     resolution: {integrity: sha512-ZI3t5mJiCt+1jQei8iNvKacpoPg9Qc9LumWZBJpWpHKbezA2df0nIXl16HjgwCr44qxpVm7azTYpJ5rylcbsNg==}
@@ -7447,16 +7414,16 @@ packages:
   tslib@2.8.1:
     resolution: {integrity: sha512-oJFu94HQb+KVduSUQL7wnpmqnfmLsOA/nAh6b6EH0wCEoK0/mPeXU6c3wKDV83MkOuHPRHtSXKKU99IBazS/2w==}
 
-  twoslash-protocol@0.3.4:
-    resolution: {integrity: sha512-HHd7lzZNLUvjPzG/IE6js502gEzLC1x7HaO1up/f72d8G8ScWAs9Yfa97igelQRDl5h9tGcdFsRp+lNVre1EeQ==}
+  twoslash-protocol@0.3.6:
+    resolution: {integrity: sha512-FHGsJ9Q+EsNr5bEbgG3hnbkvEBdW5STgPU824AHUjB4kw0Dn4p8tABT7Ncg1Ie6V0+mDg3Qpy41VafZXcQhWMA==}
 
-  twoslash-vue@0.3.4:
-    resolution: {integrity: sha512-R9hHbmfQMAiHG2UjB0tVFanEzz0SHDa9ZSxowAQFQMPPZSUSuP0meVG2BW2O+q7NAWzya8aJh/eXtPIMX3qsxA==}
+  twoslash-vue@0.3.6:
+    resolution: {integrity: sha512-HXYxU+Y7jZiMXJN4980fQNMYflLD8uqKey1qVW5ri8bqYTm2t5ILmOoCOli7esdCHlMq4/No3iQUWBWDhZNs9w==}
     peerDependencies:
       typescript: ^5.5.0
 
-  twoslash@0.3.4:
-    resolution: {integrity: sha512-RtJURJlGRxrkJmTcZMjpr7jdYly1rfgpujJr1sBM9ch7SKVht/SjFk23IOAyvwT1NLCk+SJiMrvW4rIAUM2Wug==}
+  twoslash@0.3.6:
+    resolution: {integrity: sha512-VuI5OKl+MaUO9UIW3rXKoPgHI3X40ZgB/j12VY6h98Ae1mCBihjPvhOPeJWlxCYcmSbmeZt5ZKkK0dsVtp+6pA==}
     peerDependencies:
       typescript: ^5.5.0
 
@@ -7525,8 +7492,8 @@ packages:
     resolution: {integrity: sha512-gBLkYIlEnSp8pFbT64yFgGE6UIB9tAkhukC23PmMDCe5Nd+cRqKxSjw5y54MK2AZMgZfJWMaNE4nYUHgi1XEOw==}
     engines: {node: '>=18.17'}
 
-  undici@7.13.0:
-    resolution: {integrity: sha512-l+zSMssRqrzDcb3fjMkjjLGmuiiK2pMIcV++mJaAc9vhjSGpvM7h43QgP+OAMb1GImHmbPyG2tBXeuyG5iY4gA==}
+  undici@7.21.0:
+    resolution: {integrity: sha512-Hn2tCQpoDt1wv23a68Ctc8Cr/BHpUSfaPYrkajTXOS9IKpxVRx/X5m1K2YkbK2ipgZgxXSgsUinl3x+2YdSSfg==}
     engines: {node: '>=20.18.1'}
 
   unicorn-magic@0.1.0:
@@ -7562,13 +7529,16 @@ packages:
   unist-util-visit@5.0.0:
     resolution: {integrity: sha512-MR04uvD+07cwl/yhVuVWAtw+3GOR/knlL55Nd/wAdblk27GCVt3lqpTivy/tkJcZoNPzTwS1Y+KMojlLDhoTzg==}
 
+  unist-util-visit@5.1.0:
+    resolution: {integrity: sha512-m+vIdyeCOpdr/QeQCu2EzxX/ohgS8KbnPDgFni4dQsfSCtpz8UqDyY5GjRru8PDKuYn7Fq19j1CQ+nJSsGKOzg==}
+
   universalify@2.0.1:
     resolution: {integrity: sha512-gptHNQghINnc/vTGIk0SOFGFNXw7JVrlRUtConJRlvaw6DuX0wO5Jeko9sWrMBhh+PsYAZ7oXAiOnf/UKogyiw==}
     engines: {node: '>= 10.0.0'}
 
-  unplugin@2.3.11:
-    resolution: {integrity: sha512-5uKD0nqiYVzlmCRs01Fhs2BdkEgBS3SAVP6ndrBsuK42iC2+JHyxM05Rm9G8+5mkmRtzMZGY8Ct5+mliZxU/Ww==}
-    engines: {node: '>=18.12.0'}
+  unplugin@3.0.0:
+    resolution: {integrity: sha512-0Mqk3AT2TZCXWKdcoaufeXNukv2mTrEZExeXlHIOZXdqYoHHr4n51pymnwV8x2BOVxwXbK2HLlI7usrqMpycdg==}
+    engines: {node: ^20.19.0 || >=22.12.0}
 
   unrun@0.2.25:
     resolution: {integrity: sha512-ZOr5uQL+JlcUT8hZsQbtuUgb1zzcFx3juhXyLSsciaWa3DW1ldMY9r4KSF3+k/LR1Evj2ggAZo1usK4/knBjMQ==}
@@ -7602,11 +7572,6 @@ packages:
   url-join@4.0.1:
     resolution: {integrity: sha512-jk1+QP6ZJqyOiuEI9AEWQfju/nB2Pw466kbA0LEZljHwKeMgd9WrAEgEGxjPDD2+TNbbb37rTyhEfrCXfuKXnA==}
 
-  use-sync-external-store@1.6.0:
-    resolution: {integrity: sha512-Pp6GSwGP/NrPIrxVFAIkOQeyw8lFenOHijQWkUTrDvrF4ALqylP2C/KCkeS9dpUM3KvYRQhna5vt7IL95+ZQ9w==}
-    peerDependencies:
-      react: ^16.8.0 || ^17.0.0 || ^18.0.0 || ^19.0.0
-
   util-deprecate@1.0.2:
     resolution: {integrity: sha512-EPD5q1uXyFxJpCrLnCc1nHnq3gOa6DZBocAIiI2TaSCA7VCJ1UJDMagCzIkXNsUYfD1daK//LTEQ8xiIbrHtcw==}
 
@@ -7933,9 +7898,6 @@ packages:
   zod@3.25.76:
     resolution: {integrity: sha512-gzUt/qt81nXsFGKIFcC3YnfEAx5NkunCfnDlvuBSSFS02bcXu4Lmea0AFIUwbLWxWPx3d9p8S5QoaujKcNQxcQ==}
 
-  zod@4.1.12:
-    resolution: {integrity: sha512-JInaHOamG8pt5+Ey8kGmdcAcg3OL9reK8ltczgHTAwNhMys/6ThXHityHxVV2p3fkw/c+MAvBHFVYHFZDmjMCQ==}
-
   zrender@6.0.0:
     resolution: {integrity: sha512-41dFXEEXuJpNecuUQq6JlbybmnHaqqpGlbH1yxnA5V9MMP4SbohSVZsJIwz+zdjQXSSlR1Vc34EgH1zxyTDvhg==}
 
@@ -7946,34 +7908,6 @@ snapshots:
 
   '@adobe/css-tools@4.3.3': {}
 
-  '@ai-sdk/gateway@1.0.40(zod@4.1.12)':
-    dependencies:
-      '@ai-sdk/provider': 2.0.0
-      '@ai-sdk/provider-utils': 3.0.12(zod@4.1.12)
-      '@vercel/oidc': 3.0.2
-      zod: 4.1.12
-
-  '@ai-sdk/provider-utils@3.0.12(zod@4.1.12)':
-    dependencies:
-      '@ai-sdk/provider': 2.0.0
-      '@standard-schema/spec': 1.0.0
-      eventsource-parser: 3.0.6
-      zod: 4.1.12
-
-  '@ai-sdk/provider@2.0.0':
-    dependencies:
-      json-schema: 0.4.0
-
-  '@ai-sdk/react@2.0.72(react@19.2.0)(zod@4.1.12)':
-    dependencies:
-      '@ai-sdk/provider-utils': 3.0.12(zod@4.1.12)
-      ai: 5.0.72(zod@4.1.12)
-      react: 19.2.0
-      swr: 2.3.6(react@19.2.0)
-      throttleit: 2.1.0
-    optionalDependencies:
-      zod: 4.1.12
-
   '@algolia/abtesting@1.1.0':
     dependencies:
       '@algolia/client-common': 5.35.0
@@ -8350,31 +8284,25 @@ snapshots:
 
   '@dimforge/rapier3d-compat@0.12.0': {}
 
-  '@docsearch/core@4.3.1(react@19.2.0)':
+  '@docsearch/core@4.5.4(react@19.2.0)':
     optionalDependencies:
       react: 19.2.0
 
-  '@docsearch/css@4.3.2': {}
+  '@docsearch/css@4.5.4': {}
 
-  '@docsearch/js@4.3.2':
-    dependencies:
-      htm: 3.1.1
+  '@docsearch/js@4.5.4': {}
 
-  '@docsearch/react@4.3.2(@algolia/client-search@5.35.0)(react@19.2.0)(search-insights@2.17.3)':
+  '@docsearch/react@4.5.4(@algolia/client-search@5.35.0)(algoliasearch@5.35.0)(react@19.2.0)(search-insights@2.17.3)':
     dependencies:
-      '@ai-sdk/react': 2.0.72(react@19.2.0)(zod@4.1.12)
       '@algolia/autocomplete-core': 1.19.2(@algolia/client-search@5.35.0)(algoliasearch@5.35.0)(search-insights@2.17.3)
-      '@docsearch/core': 4.3.1(react@19.2.0)
-      '@docsearch/css': 4.3.2
-      ai: 5.0.72(zod@4.1.12)
-      algoliasearch: 5.35.0
-      marked: 16.3.0
-      zod: 4.1.12
+      '@docsearch/core': 4.5.4(react@19.2.0)
+      '@docsearch/css': 4.5.4
     optionalDependencies:
       react: 19.2.0
       search-insights: 2.17.3
     transitivePeerDependencies:
       - '@algolia/client-search'
+      - algoliasearch
 
   '@emnapi/core@1.7.1':
     dependencies:
@@ -8810,7 +8738,13 @@ snapshots:
     optionalDependencies:
       markdown-it: 14.1.0
 
-  '@mdit/plugin-alert@0.22.3(markdown-it@14.1.0)':
+  '@mdit/helper@0.22.2(markdown-it@14.1.0)':
+    dependencies:
+      '@types/markdown-it': 14.1.2
+    optionalDependencies:
+      markdown-it: 14.1.0
+
+  '@mdit/plugin-alert@0.22.4(markdown-it@14.1.0)':
     dependencies:
       '@types/markdown-it': 14.1.2
     optionalDependencies:
@@ -8823,13 +8757,13 @@ snapshots:
     optionalDependencies:
       markdown-it: 14.1.0
 
-  '@mdit/plugin-container@0.22.2(markdown-it@14.1.0)':
+  '@mdit/plugin-container@0.22.3(markdown-it@14.1.0)':
     dependencies:
       '@types/markdown-it': 14.1.2
     optionalDependencies:
       markdown-it: 14.1.0
 
-  '@mdit/plugin-figure@0.22.2(markdown-it@14.1.0)':
+  '@mdit/plugin-figure@0.22.3(markdown-it@14.1.0)':
     dependencies:
       '@types/markdown-it': 14.1.2
     optionalDependencies:
@@ -8840,36 +8774,36 @@ snapshots:
       '@types/markdown-it': 14.1.2
       markdown-it: 14.1.0
 
-  '@mdit/plugin-img-lazyload@0.22.1(markdown-it@14.1.0)':
+  '@mdit/plugin-img-lazyload@0.22.2(markdown-it@14.1.0)':
     dependencies:
       '@types/markdown-it': 14.1.2
     optionalDependencies:
       markdown-it: 14.1.0
 
-  '@mdit/plugin-img-mark@0.22.2(markdown-it@14.1.0)':
+  '@mdit/plugin-img-mark@0.22.3(markdown-it@14.1.0)':
     dependencies:
       '@types/markdown-it': 14.1.2
     optionalDependencies:
       markdown-it: 14.1.0
 
-  '@mdit/plugin-img-size@0.22.4(markdown-it@14.1.0)':
+  '@mdit/plugin-img-size@0.22.5(markdown-it@14.1.0)':
     dependencies:
       '@types/markdown-it': 14.1.2
     optionalDependencies:
       markdown-it: 14.1.0
 
-  '@mdit/plugin-include@0.22.3(markdown-it@14.1.0)':
+  '@mdit/plugin-include@0.22.4(markdown-it@14.1.0)':
     dependencies:
-      '@mdit/helper': 0.22.1(markdown-it@14.1.0)
+      '@mdit/helper': 0.22.2(markdown-it@14.1.0)
       '@types/markdown-it': 14.1.2
       upath: 2.0.1
     optionalDependencies:
       markdown-it: 14.1.0
 
-  '@mdit/plugin-katex-slim@0.25.1(katex@0.16.27)(markdown-it@14.1.0)':
+  '@mdit/plugin-katex-slim@0.25.2(katex@0.16.27)(markdown-it@14.1.0)':
     dependencies:
-      '@mdit/helper': 0.22.1(markdown-it@14.1.0)
-      '@mdit/plugin-tex': 0.23.0(markdown-it@14.1.0)
+      '@mdit/helper': 0.22.2(markdown-it@14.1.0)
+      '@mdit/plugin-tex': 0.23.1(markdown-it@14.1.0)
       '@types/markdown-it': 14.1.2
     optionalDependencies:
       katex: 0.16.27
@@ -8881,17 +8815,18 @@ snapshots:
     optionalDependencies:
       markdown-it: 14.1.0
 
-  '@mdit/plugin-mathjax-slim@0.24.1(@mathjax/src@4.1.0)(markdown-it@14.1.0)':
+  '@mdit/plugin-mathjax-slim@0.25.0(@mathjax/mathjax-newcm-font@4.1.0)(@mathjax/src@4.1.0)(markdown-it@14.1.0)':
     dependencies:
-      '@mdit/plugin-tex': 0.23.0(markdown-it@14.1.0)
+      '@mdit/plugin-tex': 0.23.1(markdown-it@14.1.0)
       '@types/markdown-it': 14.1.2
     optionalDependencies:
+      '@mathjax/mathjax-newcm-font': 4.1.0
       '@mathjax/src': 4.1.0
       markdown-it: 14.1.0
 
-  '@mdit/plugin-plantuml@0.23.0(markdown-it@14.1.0)':
+  '@mdit/plugin-plantuml@0.23.1(markdown-it@14.1.0)':
     dependencies:
-      '@mdit/plugin-uml': 0.23.0(markdown-it@14.1.0)
+      '@mdit/plugin-uml': 0.23.1(markdown-it@14.1.0)
       '@types/markdown-it': 14.1.2
     optionalDependencies:
       markdown-it: 14.1.0
@@ -8923,15 +8858,15 @@ snapshots:
     optionalDependencies:
       markdown-it: 14.1.0
 
-  '@mdit/plugin-tex@0.23.0(markdown-it@14.1.0)':
+  '@mdit/plugin-tex@0.23.1(markdown-it@14.1.0)':
     dependencies:
       '@types/markdown-it': 14.1.2
     optionalDependencies:
       markdown-it: 14.1.0
 
-  '@mdit/plugin-uml@0.23.0(markdown-it@14.1.0)':
+  '@mdit/plugin-uml@0.23.1(markdown-it@14.1.0)':
     dependencies:
-      '@mdit/helper': 0.22.1(markdown-it@14.1.0)
+      '@mdit/helper': 0.22.2(markdown-it@14.1.0)
       '@types/markdown-it': 14.1.2
     optionalDependencies:
       markdown-it: 14.1.0
@@ -8959,7 +8894,8 @@ snapshots:
       '@nodelib/fs.scandir': 2.1.5
       fastq: 1.19.1
 
-  '@opentelemetry/api@1.9.0': {}
+  '@opentelemetry/api@1.9.0':
+    optional: true
 
   '@oxc-project/runtime@0.108.0': {}
 
@@ -9288,13 +9224,6 @@ snapshots:
   '@rollup/rollup-win32-x64-msvc@4.52.4':
     optional: true
 
-  '@shikijs/core@3.20.0':
-    dependencies:
-      '@shikijs/types': 3.20.0
-      '@shikijs/vscode-textmate': 10.0.2
-      '@types/hast': 3.0.4
-      hast-util-to-html: 9.0.5
-
   '@shikijs/core@3.21.0':
     dependencies:
       '@shikijs/types': 3.21.0
@@ -9302,11 +9231,12 @@ snapshots:
       '@types/hast': 3.0.4
       hast-util-to-html: 9.0.5
 
-  '@shikijs/engine-javascript@3.20.0':
+  '@shikijs/core@3.22.0':
     dependencies:
-      '@shikijs/types': 3.20.0
+      '@shikijs/types': 3.22.0
       '@shikijs/vscode-textmate': 10.0.2
-      oniguruma-to-es: 4.3.4
+      '@types/hast': 3.0.4
+      hast-util-to-html: 9.0.5
 
   '@shikijs/engine-javascript@3.21.0':
     dependencies:
@@ -9314,52 +9244,58 @@ snapshots:
       '@shikijs/vscode-textmate': 10.0.2
       oniguruma-to-es: 4.3.4
 
-  '@shikijs/engine-oniguruma@3.20.0':
+  '@shikijs/engine-javascript@3.22.0':
     dependencies:
-      '@shikijs/types': 3.20.0
+      '@shikijs/types': 3.22.0
       '@shikijs/vscode-textmate': 10.0.2
+      oniguruma-to-es: 4.3.4
 
   '@shikijs/engine-oniguruma@3.21.0':
     dependencies:
       '@shikijs/types': 3.21.0
       '@shikijs/vscode-textmate': 10.0.2
 
-  '@shikijs/langs@3.20.0':
+  '@shikijs/engine-oniguruma@3.22.0':
     dependencies:
-      '@shikijs/types': 3.20.0
+      '@shikijs/types': 3.22.0
+      '@shikijs/vscode-textmate': 10.0.2
 
   '@shikijs/langs@3.21.0':
     dependencies:
       '@shikijs/types': 3.21.0
 
-  '@shikijs/themes@3.20.0':
+  '@shikijs/langs@3.22.0':
     dependencies:
-      '@shikijs/types': 3.20.0
+      '@shikijs/types': 3.22.0
 
   '@shikijs/themes@3.21.0':
     dependencies:
       '@shikijs/types': 3.21.0
 
-  '@shikijs/transformers@3.20.0':
+  '@shikijs/themes@3.22.0':
     dependencies:
-      '@shikijs/core': 3.20.0
-      '@shikijs/types': 3.20.0
+      '@shikijs/types': 3.22.0
 
-  '@shikijs/twoslash@3.20.0(typescript@5.9.3)':
+  '@shikijs/transformers@3.22.0':
     dependencies:
-      '@shikijs/core': 3.20.0
-      '@shikijs/types': 3.20.0
-      twoslash: 0.3.4(typescript@5.9.3)
+      '@shikijs/core': 3.22.0
+      '@shikijs/types': 3.22.0
+
+  '@shikijs/twoslash@3.22.0(typescript@5.9.3)':
+    dependencies:
+      '@shikijs/core': 3.22.0
+      '@shikijs/types': 3.22.0
+      twoslash: 0.3.6(typescript@5.9.3)
       typescript: 5.9.3
     transitivePeerDependencies:
       - supports-color
 
-  '@shikijs/types@3.20.0':
+  '@shikijs/types@3.21.0':
     dependencies:
       '@shikijs/vscode-textmate': 10.0.2
       '@types/hast': 3.0.4
 
-  '@shikijs/types@3.21.0':
+  '@shikijs/types@3.22.0':
     dependencies:
       '@shikijs/vscode-textmate': 10.0.2
       '@types/hast': 3.0.4
@@ -9698,7 +9634,7 @@ snapshots:
 
   '@types/sax@1.2.7':
     dependencies:
-      '@types/node': 25.0.8
+      '@types/node': 25.0.9
 
   '@types/semver@7.7.0': {}
 
@@ -9829,7 +9765,7 @@ snapshots:
       '@typescript-eslint/types': 8.53.0
       eslint-visitor-keys: 4.2.1
 
-  '@typescript/vfs@1.6.1(typescript@5.9.3)':
+  '@typescript/vfs@1.6.2(typescript@5.9.3)':
     dependencies:
       debug: 4.4.3
       typescript: 5.9.3
@@ -9838,8 +9774,6 @@ snapshots:
 
   '@ungap/structured-clone@1.3.0': {}
 
-  '@vercel/oidc@3.0.2': {}
-
   '@vitejs/plugin-vue@6.0.1(vite@8.0.0-beta.8(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(yaml@2.8.2))(vue@3.5.27(typescript@5.9.3))':
     dependencies:
       '@rolldown/pluginutils': 1.0.0-beta.29
@@ -9910,24 +9844,16 @@ snapshots:
       '@vitest/pretty-format': 4.0.17
       tinyrainbow: 3.0.3
 
-  '@volar/language-core@2.4.22':
+  '@volar/language-core@2.4.27':
     dependencies:
-      '@volar/source-map': 2.4.22
+      '@volar/source-map': 2.4.27
 
-  '@volar/source-map@2.4.22': {}
+  '@volar/source-map@2.4.27': {}
 
   '@vscode/markdown-it-katex@1.1.2':
     dependencies:
       katex: 0.16.25
 
-  '@vue/compiler-core@3.5.25':
-    dependencies:
-      '@babel/parser': 7.28.5
-      '@vue/shared': 3.5.25
-      entities: 4.5.0
-      estree-walker: 2.0.2
-      source-map-js: 1.2.1
-
   '@vue/compiler-core@3.5.27':
     dependencies:
       '@babel/parser': 7.28.5
@@ -9936,11 +9862,6 @@ snapshots:
       estree-walker: 2.0.2
       source-map-js: 1.2.1
 
-  '@vue/compiler-dom@3.5.25':
-    dependencies:
-      '@vue/compiler-core': 3.5.25
-      '@vue/shared': 3.5.25
-
   '@vue/compiler-dom@3.5.27':
     dependencies:
       '@vue/compiler-core': 3.5.27
@@ -9963,11 +9884,6 @@ snapshots:
       '@vue/compiler-dom': 3.5.27
       '@vue/shared': 3.5.27
 
-  '@vue/compiler-vue2@2.7.16':
-    dependencies:
-      de-indent: 1.0.2
-      he: 1.2.0
-
   '@vue/devtools-api@6.6.4': {}
 
   '@vue/devtools-api@8.0.2':
@@ -9988,18 +9904,15 @@ snapshots:
     dependencies:
       rfdc: 1.4.1
 
-  '@vue/language-core@3.0.5(typescript@5.9.3)':
+  '@vue/language-core@3.2.4':
     dependencies:
-      '@volar/language-core': 2.4.22
-      '@vue/compiler-dom': 3.5.25
-      '@vue/compiler-vue2': 2.7.16
-      '@vue/shared': 3.5.25
-      alien-signals: 2.0.6
+      '@volar/language-core': 2.4.27
+      '@vue/compiler-dom': 3.5.27
+      '@vue/shared': 3.5.27
+      alien-signals: 3.1.2
       muggle-string: 0.4.1
       path-browserify: 1.0.1
       picomatch: 4.0.3
-    optionalDependencies:
-      typescript: 5.9.3
 
   '@vue/reactivity@3.5.27':
     dependencies:
@@ -10023,8 +9936,6 @@ snapshots:
       '@vue/shared': 3.5.27
       vue: 3.5.27(typescript@5.9.3)
 
-  '@vue/shared@3.5.25': {}
-
   '@vue/shared@3.5.27': {}
 
   '@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2)':
@@ -10104,11 +10015,11 @@ snapshots:
       - supports-color
       - typescript
 
-  '@vuepress/helper@2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
+  '@vuepress/helper@2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
     dependencies:
-      '@vue/shared': 3.5.25
-      '@vueuse/core': 14.1.0(vue@3.5.27(typescript@5.9.3))
-      cheerio: 1.1.2
+      '@vue/shared': 3.5.27
+      '@vueuse/core': 14.2.1(vue@3.5.27(typescript@5.9.3))
+      cheerio: 1.2.0
       fflate: 0.8.2
       gray-matter: 4.0.3
       vue: 3.5.27(typescript@5.9.3)
@@ -10116,8 +10027,9 @@ snapshots:
     transitivePeerDependencies:
       - typescript
 
-  '@vuepress/highlighter-helper@2.0.0-rc.118(@vueuse/core@14.1.0(vue@3.5.27(typescript@5.9.3)))(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
+  '@vuepress/highlighter-helper@2.0.0-rc.122(@vuepress/helper@2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))))(@vueuse/core@14.1.0(vue@3.5.27(typescript@5.9.3)))(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
     dependencies:
+      '@vuepress/helper': 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       vuepress: 2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))
     optionalDependencies:
       '@vueuse/core': 14.1.0(vue@3.5.27(typescript@5.9.3))
@@ -10143,53 +10055,54 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
-  '@vuepress/plugin-cache@2.0.0-rc.121(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
+  '@vuepress/plugin-cache@2.0.0-rc.122(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
     dependencies:
-      ci-info: 4.3.1
-      lru-cache: 11.2.4
+      ci-info: 4.4.0
+      lru-cache: 11.2.6
       vuepress: 2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))
 
-  '@vuepress/plugin-comment@2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
+  '@vuepress/plugin-comment@2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
     dependencies:
-      '@vuepress/helper': 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
-      '@vueuse/core': 14.1.0(vue@3.5.27(typescript@5.9.3))
+      '@vuepress/helper': 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+      '@vueuse/core': 14.2.1(vue@3.5.27(typescript@5.9.3))
       giscus: 1.6.0
       vue: 3.5.27(typescript@5.9.3)
       vuepress: 2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))
     transitivePeerDependencies:
       - typescript
 
-  '@vuepress/plugin-copy-code@2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
+  '@vuepress/plugin-copy-code@2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
     dependencies:
-      '@vuepress/helper': 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
-      '@vueuse/core': 14.1.0(vue@3.5.27(typescript@5.9.3))
+      '@vuepress/helper': 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+      '@vueuse/core': 14.2.1(vue@3.5.27(typescript@5.9.3))
       vue: 3.5.27(typescript@5.9.3)
       vuepress: 2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))
     transitivePeerDependencies:
       - typescript
 
-  '@vuepress/plugin-docsearch@2.0.0-rc.121(@algolia/client-search@5.35.0)(react@19.2.0)(search-insights@2.17.3)(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
+  '@vuepress/plugin-docsearch@2.0.0-rc.122(@algolia/client-search@5.35.0)(algoliasearch@5.35.0)(react@19.2.0)(search-insights@2.17.3)(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
     dependencies:
-      '@docsearch/css': 4.3.2
-      '@docsearch/js': 4.3.2
-      '@docsearch/react': 4.3.2(@algolia/client-search@5.35.0)(react@19.2.0)(search-insights@2.17.3)
-      '@vuepress/helper': 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
-      '@vueuse/core': 14.1.0(vue@3.5.27(typescript@5.9.3))
+      '@docsearch/css': 4.5.4
+      '@docsearch/js': 4.5.4
+      '@docsearch/react': 4.5.4(@algolia/client-search@5.35.0)(algoliasearch@5.35.0)(react@19.2.0)(search-insights@2.17.3)
+      '@vuepress/helper': 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+      '@vueuse/core': 14.2.1(vue@3.5.27(typescript@5.9.3))
       ts-debounce: 4.0.0
       vue: 3.5.27(typescript@5.9.3)
       vuepress: 2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))
     transitivePeerDependencies:
       - '@algolia/client-search'
       - '@types/react'
+      - algoliasearch
       - react
       - react-dom
       - search-insights
       - typescript
 
-  '@vuepress/plugin-git@2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
+  '@vuepress/plugin-git@2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
     dependencies:
-      '@vuepress/helper': 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
-      '@vueuse/core': 14.1.0(vue@3.5.27(typescript@5.9.3))
+      '@vuepress/helper': 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+      '@vueuse/core': 14.2.1(vue@3.5.27(typescript@5.9.3))
       rehype-parse: 9.0.1
       rehype-sanitize: 6.0.0
       rehype-stringify: 10.0.1
@@ -10199,27 +10112,29 @@ snapshots:
     transitivePeerDependencies:
       - typescript
 
-  '@vuepress/plugin-llms@2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
+  '@vuepress/plugin-llms@2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
     dependencies:
-      '@vuepress/helper': 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+      '@vuepress/helper': 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       byte-size: 9.0.1
       gray-matter: 4.0.3
+      mdast-util-from-markdown: 2.0.2
       millify: 6.1.0
       remark: 15.0.1
-      tokenx: 1.2.1
+      tokenx: 1.3.0
       unist-util-remove: 4.0.0
+      unist-util-visit: 5.1.0
       vuepress: 2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))
     transitivePeerDependencies:
       - '@75lb/nature'
       - supports-color
       - typescript
 
-  '@vuepress/plugin-markdown-chart@2.0.0-rc.121(chart.js@4.5.1)(echarts@6.0.0)(flowchart.ts@3.0.1)(markdown-it@14.1.0)(markmap-lib@0.18.12(markmap-common@0.18.9))(markmap-toolbar@0.18.12(markmap-common@0.18.9))(markmap-view@0.18.12(markmap-common@0.18.9))(mermaid@11.12.2)(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
+  '@vuepress/plugin-markdown-chart@2.0.0-rc.122(chart.js@4.5.1)(echarts@6.0.0)(flowchart.ts@3.0.1)(markdown-it@14.1.0)(markmap-lib@0.18.12(markmap-common@0.18.9))(markmap-toolbar@0.18.12(markmap-common@0.18.9))(markmap-view@0.18.12(markmap-common@0.18.9))(mermaid@11.12.2)(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
     dependencies:
-      '@mdit/plugin-container': 0.22.2(markdown-it@14.1.0)
-      '@mdit/plugin-plantuml': 0.23.0(markdown-it@14.1.0)
-      '@vuepress/helper': 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
-      '@vueuse/core': 14.1.0(vue@3.5.27(typescript@5.9.3))
+      '@mdit/plugin-container': 0.22.3(markdown-it@14.1.0)
+      '@mdit/plugin-plantuml': 0.23.1(markdown-it@14.1.0)
+      '@vuepress/helper': 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+      '@vueuse/core': 14.2.1(vue@3.5.27(typescript@5.9.3))
       vue: 3.5.27(typescript@5.9.3)
       vuepress: 2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))
     optionalDependencies:
@@ -10234,126 +10149,127 @@ snapshots:
       - markdown-it
       - typescript
 
-  '@vuepress/plugin-markdown-hint@2.0.0-rc.121(markdown-it@14.1.0)(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
+  '@vuepress/plugin-markdown-hint@2.0.0-rc.122(markdown-it@14.1.0)(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
     dependencies:
-      '@mdit/plugin-alert': 0.22.3(markdown-it@14.1.0)
-      '@mdit/plugin-container': 0.22.2(markdown-it@14.1.0)
+      '@mdit/plugin-alert': 0.22.4(markdown-it@14.1.0)
+      '@mdit/plugin-container': 0.22.3(markdown-it@14.1.0)
       '@types/markdown-it': 14.1.2
-      '@vuepress/helper': 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
-      '@vueuse/core': 14.1.0(vue@3.5.27(typescript@5.9.3))
+      '@vuepress/helper': 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+      '@vueuse/core': 14.2.1(vue@3.5.27(typescript@5.9.3))
       vuepress: 2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))
     transitivePeerDependencies:
       - markdown-it
       - typescript
       - vue
 
-  '@vuepress/plugin-markdown-image@2.0.0-rc.121(markdown-it@14.1.0)(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
+  '@vuepress/plugin-markdown-image@2.0.0-rc.122(markdown-it@14.1.0)(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
     dependencies:
-      '@mdit/plugin-figure': 0.22.2(markdown-it@14.1.0)
-      '@mdit/plugin-img-lazyload': 0.22.1(markdown-it@14.1.0)
-      '@mdit/plugin-img-mark': 0.22.2(markdown-it@14.1.0)
-      '@mdit/plugin-img-size': 0.22.4(markdown-it@14.1.0)
+      '@mdit/plugin-figure': 0.22.3(markdown-it@14.1.0)
+      '@mdit/plugin-img-lazyload': 0.22.2(markdown-it@14.1.0)
+      '@mdit/plugin-img-mark': 0.22.3(markdown-it@14.1.0)
+      '@mdit/plugin-img-size': 0.22.5(markdown-it@14.1.0)
       '@types/markdown-it': 14.1.2
-      '@vuepress/helper': 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+      '@vuepress/helper': 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       vuepress: 2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))
     transitivePeerDependencies:
       - markdown-it
       - typescript
 
-  '@vuepress/plugin-markdown-include@2.0.0-rc.121(markdown-it@14.1.0)(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
+  '@vuepress/plugin-markdown-include@2.0.0-rc.122(markdown-it@14.1.0)(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
     dependencies:
-      '@mdit/plugin-include': 0.22.3(markdown-it@14.1.0)
+      '@mdit/plugin-include': 0.22.4(markdown-it@14.1.0)
       '@types/markdown-it': 14.1.2
-      '@vuepress/helper': 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+      '@vuepress/helper': 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       vuepress: 2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))
     transitivePeerDependencies:
       - markdown-it
       - typescript
 
-  '@vuepress/plugin-markdown-math@2.0.0-rc.121(@mathjax/src@4.1.0)(katex@0.16.27)(markdown-it@14.1.0)(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
+  '@vuepress/plugin-markdown-math@2.0.0-rc.122(@mathjax/mathjax-newcm-font@4.1.0)(@mathjax/src@4.1.0)(katex@0.16.27)(markdown-it@14.1.0)(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
     dependencies:
-      '@mdit/plugin-katex-slim': 0.25.1(katex@0.16.27)(markdown-it@14.1.0)
-      '@mdit/plugin-mathjax-slim': 0.24.1(@mathjax/src@4.1.0)(markdown-it@14.1.0)
+      '@mdit/plugin-katex-slim': 0.25.2(katex@0.16.27)(markdown-it@14.1.0)
+      '@mdit/plugin-mathjax-slim': 0.25.0(@mathjax/mathjax-newcm-font@4.1.0)(@mathjax/src@4.1.0)(markdown-it@14.1.0)
       '@types/markdown-it': 14.1.2
-      '@vuepress/helper': 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+      '@vuepress/helper': 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       vue: 3.5.27(typescript@5.9.3)
       vuepress: 2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))
     optionalDependencies:
       '@mathjax/src': 4.1.0
       katex: 0.16.27
     transitivePeerDependencies:
+      - '@mathjax/mathjax-newcm-font'
       - markdown-it
       - typescript
 
-  '@vuepress/plugin-nprogress@2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
+  '@vuepress/plugin-nprogress@2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
     dependencies:
-      '@vuepress/helper': 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+      '@vuepress/helper': 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       vue: 3.5.27(typescript@5.9.3)
       vuepress: 2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))
     transitivePeerDependencies:
       - typescript
 
-  '@vuepress/plugin-photo-swipe@2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
+  '@vuepress/plugin-photo-swipe@2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
     dependencies:
-      '@vuepress/helper': 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
-      '@vueuse/core': 14.1.0(vue@3.5.27(typescript@5.9.3))
+      '@vuepress/helper': 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+      '@vueuse/core': 14.2.1(vue@3.5.27(typescript@5.9.3))
       photoswipe: 5.4.4
       vue: 3.5.27(typescript@5.9.3)
       vuepress: 2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))
     transitivePeerDependencies:
       - typescript
 
-  '@vuepress/plugin-reading-time@2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
+  '@vuepress/plugin-reading-time@2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
     dependencies:
-      '@vuepress/helper': 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+      '@vuepress/helper': 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       vue: 3.5.27(typescript@5.9.3)
       vuepress: 2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))
     transitivePeerDependencies:
       - typescript
 
-  '@vuepress/plugin-replace-assets@2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
+  '@vuepress/plugin-replace-assets@2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
     dependencies:
-      '@vuepress/helper': 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+      '@vuepress/helper': 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       magic-string: 0.30.21
-      unplugin: 2.3.11
+      unplugin: 3.0.0
       vuepress: 2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))
     transitivePeerDependencies:
       - typescript
 
-  '@vuepress/plugin-seo@2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
+  '@vuepress/plugin-seo@2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
     dependencies:
-      '@vuepress/helper': 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+      '@vuepress/helper': 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       vuepress: 2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))
     transitivePeerDependencies:
       - typescript
 
-  '@vuepress/plugin-shiki@2.0.0-rc.121(@vuepress/shiki-twoslash@2.0.0-rc.121(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))))(@vueuse/core@14.1.0(vue@3.5.27(typescript@5.9.3)))(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
+  '@vuepress/plugin-shiki@2.0.0-rc.122(@vuepress/shiki-twoslash@2.0.0-rc.122(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))))(@vueuse/core@14.1.0(vue@3.5.27(typescript@5.9.3)))(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
     dependencies:
-      '@shikijs/transformers': 3.20.0
-      '@vuepress/helper': 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
-      '@vuepress/highlighter-helper': 2.0.0-rc.118(@vueuse/core@14.1.0(vue@3.5.27(typescript@5.9.3)))(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+      '@shikijs/transformers': 3.22.0
+      '@vuepress/helper': 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+      '@vuepress/highlighter-helper': 2.0.0-rc.122(@vuepress/helper@2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))))(@vueuse/core@14.1.0(vue@3.5.27(typescript@5.9.3)))(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       nanoid: 5.1.6
-      shiki: 3.20.0
-      synckit: 0.11.11
+      shiki: 3.22.0
+      synckit: 0.11.12
       vuepress: 2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))
     optionalDependencies:
-      '@vuepress/shiki-twoslash': 2.0.0-rc.121(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+      '@vuepress/shiki-twoslash': 2.0.0-rc.122(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
     transitivePeerDependencies:
       - '@vueuse/core'
       - typescript
 
-  '@vuepress/plugin-sitemap@2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
+  '@vuepress/plugin-sitemap@2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
     dependencies:
-      '@vuepress/helper': 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+      '@vuepress/helper': 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       sitemap: 9.0.0
       vuepress: 2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))
     transitivePeerDependencies:
       - typescript
 
-  '@vuepress/plugin-watermark@2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
+  '@vuepress/plugin-watermark@2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
     dependencies:
-      '@vuepress/helper': 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
-      '@vueuse/core': 14.1.0(vue@3.5.27(typescript@5.9.3))
+      '@vuepress/helper': 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+      '@vueuse/core': 14.2.1(vue@3.5.27(typescript@5.9.3))
       vue: 3.5.27(typescript@5.9.3)
       vuepress: 2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))
       watermark-js-plus: 1.6.3
@@ -10364,16 +10280,16 @@ snapshots:
     dependencies:
       '@mdit-vue/types': 3.0.2
 
-  '@vuepress/shiki-twoslash@2.0.0-rc.121(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
+  '@vuepress/shiki-twoslash@2.0.0-rc.122(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))':
     dependencies:
-      '@shikijs/twoslash': 3.20.0(typescript@5.9.3)
-      '@vuepress/helper': 2.0.0-rc.121(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
+      '@shikijs/twoslash': 3.22.0(typescript@5.9.3)
+      '@vuepress/helper': 2.0.0-rc.122(typescript@5.9.3)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3)))
       floating-vue: 5.2.2(patch_hash=c8e9cd61468e959201bb251258241870423ca2ca7ae2e8a184210e0f20619fd5)(vue@3.5.27(typescript@5.9.3))
       mdast-util-from-markdown: 2.0.2
       mdast-util-gfm: 3.1.0
       mdast-util-to-hast: 13.2.1
-      twoslash: 0.3.4(typescript@5.9.3)
-      twoslash-vue: 0.3.4(typescript@5.9.3)
+      twoslash: 0.3.6(typescript@5.9.3)
+      twoslash-vue: 0.3.6(typescript@5.9.3)
       vuepress: 2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.2)(jiti@2.6.1)(less@4.5.1)(sass-embedded@1.97.2)(sass@1.97.2)(stylus@0.64.0)(typescript@5.9.3)(yaml@2.8.2))(typescript@5.9.3)(vue@3.5.27(typescript@5.9.3))
     transitivePeerDependencies:
       - '@nuxt/kit'
@@ -10406,6 +10322,13 @@ snapshots:
       '@vueuse/shared': 14.1.0(vue@3.5.27(typescript@5.9.3))
       vue: 3.5.27(typescript@5.9.3)
 
+  '@vueuse/core@14.2.1(vue@3.5.27(typescript@5.9.3))':
+    dependencies:
+      '@types/web-bluetooth': 0.0.21
+      '@vueuse/metadata': 14.2.1
+      '@vueuse/shared': 14.2.1(vue@3.5.27(typescript@5.9.3))
+      vue: 3.5.27(typescript@5.9.3)
+
   '@vueuse/integrations@14.1.0(axios@1.13.2)(change-case@5.4.4)(focus-trap@7.8.0)(qrcode@1.5.4)(vue@3.5.27(typescript@5.9.3))':
     dependencies:
       '@vueuse/core': 14.1.0(vue@3.5.27(typescript@5.9.3))
@@ -10419,10 +10342,16 @@ snapshots:
 
   '@vueuse/metadata@14.1.0': {}
 
+  '@vueuse/metadata@14.2.1': {}
+
   '@vueuse/shared@14.1.0(vue@3.5.27(typescript@5.9.3))':
     dependencies:
       vue: 3.5.27(typescript@5.9.3)
 
+  '@vueuse/shared@14.2.1(vue@3.5.27(typescript@5.9.3))':
+    dependencies:
+      vue: 3.5.27(typescript@5.9.3)
+
   '@webgpu/types@0.1.66': {}
 
   '@xmldom/xmldom@0.9.8': {}
@@ -10440,14 +10369,6 @@ snapshots:
 
   add-stream@1.0.0: {}
 
-  ai@5.0.72(zod@4.1.12):
-    dependencies:
-      '@ai-sdk/gateway': 1.0.40(zod@4.1.12)
-      '@ai-sdk/provider': 2.0.0
-      '@ai-sdk/provider-utils': 3.0.12(zod@4.1.12)
-      '@opentelemetry/api': 1.9.0
-      zod: 4.1.12
-
   ajv@6.12.6:
     dependencies:
       fast-deep-equal: 3.1.3
@@ -10479,7 +10400,7 @@ snapshots:
       '@algolia/requester-fetch': 5.35.0
       '@algolia/requester-node-http': 5.35.0
 
-  alien-signals@2.0.6: {}
+  alien-signals@3.1.2: {}
 
   ansi-escapes@4.3.2:
     dependencies:
@@ -10821,18 +10742,18 @@ snapshots:
       undici: 6.21.3
       whatwg-mimetype: 4.0.0
 
-  cheerio@1.1.2:
+  cheerio@1.2.0:
     dependencies:
       cheerio-select: 2.1.0
       dom-serializer: 2.0.0
       domhandler: 5.0.3
       domutils: 3.2.2
       encoding-sniffer: 0.2.1
-      htmlparser2: 10.0.0
+      htmlparser2: 10.1.0
       parse5: 7.3.0
       parse5-htmlparser2-tree-adapter: 7.1.0
       parse5-parser-stream: 7.1.2
-      undici: 7.13.0
+      undici: 7.21.0
       whatwg-mimetype: 4.0.0
 
   chevrotain-allstar@0.3.1(chevrotain@11.0.3):
@@ -10855,6 +10776,8 @@ snapshots:
 
   ci-info@4.3.1: {}
 
+  ci-info@4.4.0: {}
+
   citty@0.1.6:
     dependencies:
       consola: 3.4.2
@@ -11395,8 +11318,6 @@ snapshots:
 
   dayjs@1.11.19: {}
 
-  de-indent@1.0.2: {}
-
   debounce@2.2.0: {}
 
   debug@4.4.1:
@@ -11539,6 +11460,8 @@ snapshots:
 
   entities@7.0.0: {}
 
+  entities@7.0.1: {}
+
   env-paths@2.2.1: {}
 
   envinfo@7.18.0: {}
@@ -12021,8 +11944,6 @@ snapshots:
 
   eventemitter3@5.0.1: {}
 
-  eventsource-parser@3.0.6: {}
-
   expand-tilde@2.0.2:
     dependencies:
       homedir-polyfill: 1.0.3
@@ -12530,8 +12451,6 @@ snapshots:
     dependencies:
       lru-cache: 10.4.3
 
-  htm@3.1.1: {}
-
   html-encoding-sniffer@3.0.0:
     dependencies:
       whatwg-encoding: 2.0.0
@@ -12544,12 +12463,12 @@ snapshots:
 
   html-void-elements@3.0.0: {}
 
-  htmlparser2@10.0.0:
+  htmlparser2@10.1.0:
     dependencies:
       domelementtype: 2.3.0
       domhandler: 5.0.3
       domutils: 3.2.2
-      entities: 6.0.1
+      entities: 7.0.1
 
   htmlparser2@8.0.2:
     dependencies:
@@ -12915,8 +12834,6 @@ snapshots:
 
   json-schema-traverse@1.0.0: {}
 
-  json-schema@0.4.0: {}
-
   json-stable-stringify-without-jsonify@1.0.1: {}
 
   jsonc-eslint-parser@2.4.2:
@@ -13182,6 +13099,8 @@ snapshots:
 
   lru-cache@11.2.4: {}
 
+  lru-cache@11.2.6: {}
+
   magic-string@0.30.21:
     dependencies:
       '@jridgewell/sourcemap-codec': 1.5.5
@@ -14178,7 +14097,8 @@ snapshots:
       defu: 6.1.4
       destr: 2.0.5
 
-  react@19.2.0: {}
+  react@19.2.0:
+    optional: true
 
   read-package-up@11.0.0:
     dependencies:
@@ -14614,17 +14534,6 @@ snapshots:
 
   shell-quote@1.8.3: {}
 
-  shiki@3.20.0:
-    dependencies:
-      '@shikijs/core': 3.20.0
-      '@shikijs/engine-javascript': 3.20.0
-      '@shikijs/engine-oniguruma': 3.20.0
-      '@shikijs/langs': 3.20.0
-      '@shikijs/themes': 3.20.0
-      '@shikijs/types': 3.20.0
-      '@shikijs/vscode-textmate': 10.0.2
-      '@types/hast': 3.0.4
-
   shiki@3.21.0:
     dependencies:
       '@shikijs/core': 3.21.0
@@ -14636,6 +14545,17 @@ snapshots:
       '@shikijs/vscode-textmate': 10.0.2
       '@types/hast': 3.0.4
 
+  shiki@3.22.0:
+    dependencies:
+      '@shikijs/core': 3.22.0
+      '@shikijs/engine-javascript': 3.22.0
+      '@shikijs/engine-oniguruma': 3.22.0
+      '@shikijs/langs': 3.22.0
+      '@shikijs/themes': 3.22.0
+      '@shikijs/types': 3.22.0
+      '@shikijs/vscode-textmate': 10.0.2
+      '@types/hast': 3.0.4
+
   side-channel-list@1.0.0:
     dependencies:
       es-errors: 1.3.0
@@ -14990,12 +14910,6 @@ snapshots:
 
   swiper@12.0.3: {}
 
-  swr@2.3.6(react@19.2.0):
-    dependencies:
-      dequal: 2.0.3
-      react: 19.2.0
-      use-sync-external-store: 1.6.0(react@19.2.0)
-
   sync-child-process@1.0.2:
     dependencies:
       sync-message-port: 1.1.3
@@ -15006,6 +14920,10 @@ snapshots:
     dependencies:
       '@pkgr/core': 0.2.9
 
+  synckit@0.11.12:
+    dependencies:
+      '@pkgr/core': 0.2.9
+
   tabbable@6.4.0: {}
 
   table@6.9.0:
@@ -15032,8 +14950,6 @@ snapshots:
 
   three@0.182.0: {}
 
-  throttleit@2.1.0: {}
-
   through@2.3.8: {}
 
   tinybench@2.9.0: {}
@@ -15066,7 +14982,7 @@ snapshots:
       '@sindresorhus/base62': 1.0.0
       reserved-identifiers: 1.2.0
 
-  tokenx@1.2.1: {}
+  tokenx@1.3.0: {}
 
   toml-eslint-parser@1.0.2:
     dependencies:
@@ -15097,7 +15013,7 @@ snapshots:
 
   tsconfig-vuepress@7.0.0: {}
 
-  tsdown@0.19.0(synckit@0.11.11)(typescript@5.9.3):
+  tsdown@0.19.0(synckit@0.11.12)(typescript@5.9.3):
     dependencies:
       ansis: 4.2.0
       cac: 6.7.14
@@ -15114,7 +15030,7 @@ snapshots:
       tinyglobby: 0.2.15
       tree-kill: 1.2.2
       unconfig-core: 7.4.2
-      unrun: 0.2.25(synckit@0.11.11)
+      unrun: 0.2.25(synckit@0.11.12)
     optionalDependencies:
       typescript: 5.9.3
     transitivePeerDependencies:
@@ -15128,21 +15044,21 @@ snapshots:
 
   tslib@2.8.1: {}
 
-  twoslash-protocol@0.3.4: {}
+  twoslash-protocol@0.3.6: {}
 
-  twoslash-vue@0.3.4(typescript@5.9.3):
+  twoslash-vue@0.3.6(typescript@5.9.3):
     dependencies:
-      '@vue/language-core': 3.0.5(typescript@5.9.3)
-      twoslash: 0.3.4(typescript@5.9.3)
-      twoslash-protocol: 0.3.4
+      '@vue/language-core': 3.2.4
+      twoslash: 0.3.6(typescript@5.9.3)
+      twoslash-protocol: 0.3.6
       typescript: 5.9.3
     transitivePeerDependencies:
       - supports-color
 
-  twoslash@0.3.4(typescript@5.9.3):
+  twoslash@0.3.6(typescript@5.9.3):
     dependencies:
-      '@typescript/vfs': 1.6.1(typescript@5.9.3)
-      twoslash-protocol: 0.3.4
+      '@typescript/vfs': 1.6.2(typescript@5.9.3)
+      twoslash-protocol: 0.3.6
       typescript: 5.9.3
     transitivePeerDependencies:
       - supports-color
@@ -15217,7 +15133,7 @@ snapshots:
 
   undici@6.21.3: {}
 
-  undici@7.13.0: {}
+  undici@7.21.0: {}
 
   unicorn-magic@0.1.0: {}
 
@@ -15266,20 +15182,25 @@ snapshots:
       unist-util-is: 6.0.0
       unist-util-visit-parents: 6.0.1
 
+  unist-util-visit@5.1.0:
+    dependencies:
+      '@types/unist': 3.0.3
+      unist-util-is: 6.0.0
+      unist-util-visit-parents: 6.0.1
+
   universalify@2.0.1: {}
 
-  unplugin@2.3.11:
+  unplugin@3.0.0:
     dependencies:
       '@jridgewell/remapping': 2.3.5
-      acorn: 8.15.0
       picomatch: 4.0.3
       webpack-virtual-modules: 0.6.2
 
-  unrun@0.2.25(synckit@0.11.11):
+  unrun@0.2.25(synckit@0.11.12):
     dependencies:
       rolldown: 1.0.0-beta.60
     optionalDependencies:
-      synckit: 0.11.11
+      synckit: 0.11.12
 
   upath@2.0.1: {}
 
@@ -15301,10 +15222,6 @@ snapshots:
 
   url-join@4.0.1: {}
 
-  use-sync-external-store@1.6.0(react@19.2.0):
-    dependencies:
-      react: 19.2.0
-
   util-deprecate@1.0.2: {}
 
   uuid@11.1.0: {}
@@ -15646,8 +15563,6 @@ snapshots:
 
   zod@3.25.76: {}
 
-  zod@4.1.12: {}
-
   zrender@6.0.0:
     dependencies:
       tslib: 2.3.0
diff --git a/pnpm-workspace.yaml b/pnpm-workspace.yaml
index 0de9d796..babf440e 100644
--- a/pnpm-workspace.yaml
+++ b/pnpm-workspace.yaml
@@ -137,27 +137,27 @@ catalogs:
     vue: ^3.5.27
   vuepress:
     '@vuepress/bundler-vite': 2.0.0-rc.26
-    '@vuepress/helper': 2.0.0-rc.121
-    '@vuepress/plugin-cache': 2.0.0-rc.121
-    '@vuepress/plugin-comment': 2.0.0-rc.121
-    '@vuepress/plugin-copy-code': 2.0.0-rc.121
-    '@vuepress/plugin-docsearch': 2.0.0-rc.121
-    '@vuepress/plugin-git': 2.0.0-rc.121
-    '@vuepress/plugin-llms': 2.0.0-rc.121
-    '@vuepress/plugin-markdown-chart': 2.0.0-rc.121
-    '@vuepress/plugin-markdown-hint': 2.0.0-rc.121
-    '@vuepress/plugin-markdown-image': 2.0.0-rc.121
-    '@vuepress/plugin-markdown-include': 2.0.0-rc.121
-    '@vuepress/plugin-markdown-math': 2.0.0-rc.121
-    '@vuepress/plugin-nprogress': 2.0.0-rc.121
-    '@vuepress/plugin-photo-swipe': 2.0.0-rc.121
-    '@vuepress/plugin-reading-time': 2.0.0-rc.121
-    '@vuepress/plugin-replace-assets': 2.0.0-rc.121
-    '@vuepress/plugin-seo': 2.0.0-rc.121
-    '@vuepress/plugin-shiki': 2.0.0-rc.121
-    '@vuepress/plugin-sitemap': 2.0.0-rc.121
-    '@vuepress/plugin-watermark': 2.0.0-rc.121
-    '@vuepress/shiki-twoslash': 2.0.0-rc.121
+    '@vuepress/helper': 2.0.0-rc.122
+    '@vuepress/plugin-cache': 2.0.0-rc.122
+    '@vuepress/plugin-comment': 2.0.0-rc.122
+    '@vuepress/plugin-copy-code': 2.0.0-rc.122
+    '@vuepress/plugin-docsearch': 2.0.0-rc.122
+    '@vuepress/plugin-git': 2.0.0-rc.122
+    '@vuepress/plugin-llms': 2.0.0-rc.122
+    '@vuepress/plugin-markdown-chart': 2.0.0-rc.122
+    '@vuepress/plugin-markdown-hint': 2.0.0-rc.122
+    '@vuepress/plugin-markdown-image': 2.0.0-rc.122
+    '@vuepress/plugin-markdown-include': 2.0.0-rc.122
+    '@vuepress/plugin-markdown-math': 2.0.0-rc.122
+    '@vuepress/plugin-nprogress': 2.0.0-rc.122
+    '@vuepress/plugin-photo-swipe': 2.0.0-rc.122
+    '@vuepress/plugin-reading-time': 2.0.0-rc.122
+    '@vuepress/plugin-replace-assets': 2.0.0-rc.122
+    '@vuepress/plugin-seo': 2.0.0-rc.122
+    '@vuepress/plugin-shiki': 2.0.0-rc.122
+    '@vuepress/plugin-sitemap': 2.0.0-rc.122
+    '@vuepress/plugin-watermark': 2.0.0-rc.122
+    '@vuepress/shiki-twoslash': 2.0.0-rc.122
     vuepress: 2.0.0-rc.26
 
 onlyBuiltDependencies: