Bump @docsearch/react from 3.8.0 to 3.8.2

Bumps [@docsearch/react](https://github.com/algolia/docsearch/tree/HEAD/packages/docsearch-react) from 3.8.0 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-patch
...

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

package.json

@@ -12,7 +12,7 @@
     "@algolia/client-search": "^5.15.0",
     "@astrojs/vue": "^4.5.3",
     "@docsearch/css": "^3.8.0",
-    "@docsearch/react": "^3.8.0",
+    "@docsearch/react": "^3.8.2",
     "@types/react": "^18.3.12",
     "playwright": "^1.49.0",
     "preact": "^10.25.2",