Bump @docsearch/react to ^4.3.2

Author: renovate[bot]

docs/package.json

@@ -20,7 +20,7 @@
     "@babel/core": "^7.28.5",
     "@babel/runtime": "^7.28.4",
     "@base-ui-components/react": "1.0.0-beta.4",
-    "@docsearch/react": "^3.9.0",
+    "@docsearch/react": "^4.3.2",
     "@emotion/cache": "^11.14.0",
     "@emotion/react": "^11.14.0",
     "@emotion/server": "^11.11.0",