chore(deps): bump @docsearch/react from 3.6.3 to 3.8.2 in /docs

Bumps [@docsearch/react](https://github.com/algolia/docsearch/tree/HEAD/packages/docsearch-react) from 3.6.3 to 3.8.2.
- [Release notes](https://github.com/algolia/docsearch/releases)
- [Changelog](https://github.com/algolia/docsearch/blob/main/CHANGELOG.md)
- [Commits](https://github.com/algolia/docsearch/commits/v3.8.2/packages/docsearch-react)

---
updated-dependencies:
- dependency-name: "@docsearch/react"
  dependency-type: direct:production
  update-type: version-update:semver-minor
...

Signed-off-by: dependabot[bot] <support@github.com>

docs/package.json

@@ -19,7 +19,7 @@
   "dependencies": {
     "@algolia/client-search": "^5.15.0",
     "@ant-design/icons": "^5.5.2",
-    "@docsearch/react": "^3.6.3",
+    "@docsearch/react": "^3.8.2",
     "@docusaurus/core": "^3.5.2",
     "@docusaurus/plugin-client-redirects": "^3.5.2",
     "@docusaurus/preset-classic": "^3.5.2",