build(deps): bump @algolia/client-search from 4.13.0 to 4.22.1 in /docs (#26554)

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docs/package.json

@@ -16,7 +16,7 @@
     "typecheck": "tsc"
   },
   "dependencies": {
-    "@algolia/client-search": "^4.13.0",
+    "@algolia/client-search": "^4.22.1",
     "@ant-design/icons": "^4.7.0",
     "@docsearch/react": "^3.3.3",
     "@docusaurus/core": "^2.4.1",