fix(deps): update dependency @docsearch/docusaurus-adapter to v5

Author: renovate[bot]

docusaurus/package.json

@@ -15,7 +15,7 @@
     "build:config": "tsc"
   },
   "dependencies": {
-    "@docsearch/docusaurus-adapter": "4.6.3",
+    "@docsearch/docusaurus-adapter": "5.0.2",
     "@docusaurus/core": "3.10.2",
     "@docusaurus/plugin-content-docs": "3.10.2",
     "@docusaurus/preset-classic": "3.10.2",