fix(deps): update dependency @algolia/client-search to v5 (#1298)

Co-authored-by: renovate[bot] <29139614+renovate[bot]@users.noreply.github.com>

Author: renovate[bot]

website/package.json

@@ -15,7 +15,7 @@
     "typecheck": "tsc"
   },
   "dependencies": {
-    "@algolia/client-search": "^4.24.0",
+    "@algolia/client-search": "^5.0.0",
     "@docusaurus/core": "^3.9.1",
     "@docusaurus/preset-classic": "^3.9.1",
     "@docusaurus/theme-classic": "^3.9.1",