diff --git a/docs/package.json b/docs/package.json
index 45f1e6354..36eb5d7b9 100644
--- a/docs/package.json
+++ b/docs/package.json
@@ -18,7 +18,7 @@
     "@docusaurus/faster": "^3.8.1",
     "@docusaurus/plugin-content-blog": "^3.8.1",
     "@docusaurus/preset-classic": "^3.8.1",
-    "@easyops-cn/docusaurus-search-local": "^0.49.2",
+    "@easyops-cn/docusaurus-search-local": "^0.51.0",
     "clsx": "^2.1.1",
     "prism-react-renderer": "^2.4.1",
     "react": "^19.1.0",
@@ -39,7 +39,7 @@
   },
   "devDependencies": {
     "@docusaurus/module-type-aliases": "^3.8.1",
-    "@docusaurus/tsconfig": "3.8.0",
+    "@docusaurus/tsconfig": "3.8.1",
     "@docusaurus/types": "^3.8.1",
     "@ianvs/prettier-plugin-sort-imports": "^4.4.2",
     "@types/node": "^22.15.31",
diff --git a/docs/pnpm-lock.yaml b/docs/pnpm-lock.yaml
index 9ef17ef72..4e7ec7027 100644
--- a/docs/pnpm-lock.yaml
+++ b/docs/pnpm-lock.yaml
@@ -21,8 +21,8 @@ importers:
         specifier: ^3.8.1
         version: 3.8.1(@algolia/client-search@5.27.0)(@docusaurus/faster@3.8.1(@docusaurus/types@3.8.1(@swc/core@1.12.0)(acorn@8.15.0)(react-dom@19.1.0(react@19.1.0))(react@19.1.0)))(@mdx-js/react@3.1.0(@types/react@19.1.8)(react@19.1.0))(@rspack/core@1.3.15)(@swc/core@1.12.0)(@types/react@19.1.8)(acorn@8.15.0)(react-dom@19.1.0(react@19.1.0))(react@19.1.0)(search-insights@2.17.3)(typescript@5.8.3)
       '@easyops-cn/docusaurus-search-local':
-        specifier: ^0.49.2
-        version: 0.49.2(@docusaurus/faster@3.8.1(@docusaurus/types@3.8.1(@swc/core@1.12.0)(acorn@8.15.0)(react-dom@19.1.0(react@19.1.0))(react@19.1.0)))(@docusaurus/theme-common@3.8.1(@docusaurus/plugin-content-docs@3.8.1(@docusaurus/faster@3.8.1(@docusaurus/types@3.8.1(@swc/core@1.12.0)(acorn@8.15.0)(react-dom@19.1.0(react@19.1.0))(react@19.1.0)))(@mdx-js/react@3.1.0(@types/react@19.1.8)(react@19.1.0))(@rspack/core@1.3.15)(@swc/core@1.12.0)(acorn@8.15.0)(react-dom@19.1.0(react@19.1.0))(react@19.1.0)(typescript@5.8.3))(@swc/core@1.12.0)(acorn@8.15.0)(react-dom@19.1.0(react@19.1.0))(react@19.1.0))(@mdx-js/react@3.1.0(@types/react@19.1.8)(react@19.1.0))(@rspack/core@1.3.15)(@swc/core@1.12.0)(acorn@8.15.0)(react-dom@19.1.0(react@19.1.0))(react@19.1.0)(typescript@5.8.3)
+        specifier: ^0.51.0
+        version: 0.51.0(@docusaurus/faster@3.8.1(@docusaurus/types@3.8.1(@swc/core@1.12.0)(acorn@8.15.0)(react-dom@19.1.0(react@19.1.0))(react@19.1.0)))(@docusaurus/theme-common@3.8.1(@docusaurus/plugin-content-docs@3.8.1(@docusaurus/faster@3.8.1(@docusaurus/types@3.8.1(@swc/core@1.12.0)(acorn@8.15.0)(react-dom@19.1.0(react@19.1.0))(react@19.1.0)))(@mdx-js/react@3.1.0(@types/react@19.1.8)(react@19.1.0))(@rspack/core@1.3.15)(@swc/core@1.12.0)(acorn@8.15.0)(react-dom@19.1.0(react@19.1.0))(react@19.1.0)(typescript@5.8.3))(@swc/core@1.12.0)(acorn@8.15.0)(react-dom@19.1.0(react@19.1.0))(react@19.1.0))(@mdx-js/react@3.1.0(@types/react@19.1.8)(react@19.1.0))(@rspack/core@1.3.15)(@swc/core@1.12.0)(acorn@8.15.0)(react-dom@19.1.0(react@19.1.0))(react@19.1.0)(typescript@5.8.3)
       clsx:
         specifier: ^2.1.1
         version: 2.1.1
@@ -43,8 +43,8 @@ importers:
         specifier: ^3.8.1
         version: 3.8.1(@swc/core@1.12.0)(acorn@8.15.0)(react-dom@19.1.0(react@19.1.0))(react@19.1.0)
       '@docusaurus/tsconfig':
-        specifier: 3.8.0
-        version: 3.8.0
+        specifier: 3.8.1
+        version: 3.8.1
       '@docusaurus/types':
         specifier: ^3.8.1
         version: 3.8.1(@swc/core@1.12.0)(acorn@8.15.0)(react-dom@19.1.0(react@19.1.0))(react@19.1.0)
@@ -1204,8 +1204,8 @@ packages:
     resolution: {integrity: sha512-OTp6eebuMcf2rJt4bqnvuwmm3NVXfzfYejL+u/Y1qwKhZPrjPoKWfk1CbOP5xH5ZOPkiAsx4dHdQBRJszK3z2g==}
     engines: {node: '>=18.0'}
 
-  '@docusaurus/tsconfig@3.8.0':
-    resolution: {integrity: sha512-utLl48nNjSYBoq47RKukZ9fPLEX3nJWThzrujb0ndQQ1jc/gh4RhTRaAqItH9nImnsgGKmLMnyoMBpfGmoop+w==}
+  '@docusaurus/tsconfig@3.8.1':
+    resolution: {integrity: sha512-XBWCcqhRHhkhfolnSolNL+N7gj3HVE3CoZVqnVjfsMzCoOsuQw2iCLxVVHtO+rePUUfouVZHURDgmqIySsF66A==}
 
   '@docusaurus/types@3.8.1':
     resolution: {integrity: sha512-ZPdW5AB+pBjiVrcLuw3dOS6BFlrG0XkS2lDGsj8TizcnREQg3J8cjsgfDviszOk4CweNfwo1AEELJkYaMUuOPg==}
@@ -1228,8 +1228,8 @@ packages:
   '@easyops-cn/autocomplete.js@0.38.1':
     resolution: {integrity: sha512-drg76jS6syilOUmVNkyo1c7ZEBPcPuK+aJA7AksM5ZIIbV57DMHCywiCr+uHyv8BE5jUTU98j/H7gVrkHrWW3Q==}
 
-  '@easyops-cn/docusaurus-search-local@0.49.2':
-    resolution: {integrity: sha512-ytXxbtpJ2gVECWrsdc6Wx7bPanueLQ95lLdR9n/tHKEPBm5d1v/vAsx487iUGVXYwzeEO8W/BQJ66Fcdvpq6xg==}
+  '@easyops-cn/docusaurus-search-local@0.51.0':
+    resolution: {integrity: sha512-D/S1rWjyxgHAFC9brdT4FR9NUCIL2i62ZYeOOZ7xZL/5bqHKWp7zcLjEhXPC86IlBVXx8PGEBYX9jzPtz/7Dxg==}
     engines: {node: '>=12'}
     peerDependencies:
       '@docusaurus/theme-common': ^2 || ^3
@@ -7661,7 +7661,7 @@ snapshots:
       fs-extra: 11.3.0
       tslib: 2.8.1
 
-  '@docusaurus/tsconfig@3.8.0': {}
+  '@docusaurus/tsconfig@3.8.1': {}
 
   '@docusaurus/types@3.8.1(@swc/core@1.12.0)(acorn@8.15.0)(react-dom@19.1.0(react@19.1.0))(react@19.1.0)':
     dependencies:
@@ -7756,7 +7756,7 @@ snapshots:
       cssesc: 3.0.0
       immediate: 3.3.0
 
-  '@easyops-cn/docusaurus-search-local@0.49.2(@docusaurus/faster@3.8.1(@docusaurus/types@3.8.1(@swc/core@1.12.0)(acorn@8.15.0)(react-dom@19.1.0(react@19.1.0))(react@19.1.0)))(@docusaurus/theme-common@3.8.1(@docusaurus/plugin-content-docs@3.8.1(@docusaurus/faster@3.8.1(@docusaurus/types@3.8.1(@swc/core@1.12.0)(acorn@8.15.0)(react-dom@19.1.0(react@19.1.0))(react@19.1.0)))(@mdx-js/react@3.1.0(@types/react@19.1.8)(react@19.1.0))(@rspack/core@1.3.15)(@swc/core@1.12.0)(acorn@8.15.0)(react-dom@19.1.0(react@19.1.0))(react@19.1.0)(typescript@5.8.3))(@swc/core@1.12.0)(acorn@8.15.0)(react-dom@19.1.0(react@19.1.0))(react@19.1.0))(@mdx-js/react@3.1.0(@types/react@19.1.8)(react@19.1.0))(@rspack/core@1.3.15)(@swc/core@1.12.0)(acorn@8.15.0)(react-dom@19.1.0(react@19.1.0))(react@19.1.0)(typescript@5.8.3)':
+  '@easyops-cn/docusaurus-search-local@0.51.0(@docusaurus/faster@3.8.1(@docusaurus/types@3.8.1(@swc/core@1.12.0)(acorn@8.15.0)(react-dom@19.1.0(react@19.1.0))(react@19.1.0)))(@docusaurus/theme-common@3.8.1(@docusaurus/plugin-content-docs@3.8.1(@docusaurus/faster@3.8.1(@docusaurus/types@3.8.1(@swc/core@1.12.0)(acorn@8.15.0)(react-dom@19.1.0(react@19.1.0))(react@19.1.0)))(@mdx-js/react@3.1.0(@types/react@19.1.8)(react@19.1.0))(@rspack/core@1.3.15)(@swc/core@1.12.0)(acorn@8.15.0)(react-dom@19.1.0(react@19.1.0))(react@19.1.0)(typescript@5.8.3))(@swc/core@1.12.0)(acorn@8.15.0)(react-dom@19.1.0(react@19.1.0))(react@19.1.0))(@mdx-js/react@3.1.0(@types/react@19.1.8)(react@19.1.0))(@rspack/core@1.3.15)(@swc/core@1.12.0)(acorn@8.15.0)(react-dom@19.1.0(react@19.1.0))(react@19.1.0)(typescript@5.8.3)':
     dependencies:
       '@docusaurus/plugin-content-docs': 3.8.1(@docusaurus/faster@3.8.1(@docusaurus/types@3.8.1(@swc/core@1.12.0)(acorn@8.15.0)(react-dom@19.1.0(react@19.1.0))(react@19.1.0)))(@mdx-js/react@3.1.0(@types/react@19.1.8)(react@19.1.0))(@rspack/core@1.3.15)(@swc/core@1.12.0)(acorn@8.15.0)(debug@4.4.1)(react-dom@19.1.0(react@19.1.0))(react@19.1.0)(typescript@5.8.3)
       '@docusaurus/theme-common': 3.8.1(@docusaurus/plugin-content-docs@3.8.1(@docusaurus/faster@3.8.1(@docusaurus/types@3.8.1(@swc/core@1.12.0)(acorn@8.15.0)(react-dom@19.1.0(react@19.1.0))(react@19.1.0)))(@mdx-js/react@3.1.0(@types/react@19.1.8)(react@19.1.0))(@rspack/core@1.3.15)(@swc/core@1.12.0)(acorn@8.15.0)(react-dom@19.1.0(react@19.1.0))(react@19.1.0)(typescript@5.8.3))(@swc/core@1.12.0)(acorn@8.15.0)(react-dom@19.1.0(react@19.1.0))(react@19.1.0)