fix(deps): update dependency @docsearch/react to v4.0.0-beta.8 (#1658)

This PR contains the following updates:

| Package | Change | Age | Confidence |
|---|---|---|---|
| [@docsearch/react](https://docsearch.algolia.com)
([source](https://redirect.github.com/algolia/docsearch/tree/HEAD/packages/docsearch-react))
| [`4.0.0-beta.7` ->
`4.0.0-beta.8`](https://renovatebot.com/diffs/npm/@docsearch%2freact/4.0.0-beta.7/4.0.0-beta.8)
|
[![age](https://developer.mend.io/api/mc/badges/age/npm/@docsearch%2freact/4.0.0-beta.8?slim=true)](https://docs.renovatebot.com/merge-confidence/)
|
[![confidence](https://developer.mend.io/api/mc/badges/confidence/npm/@docsearch%2freact/4.0.0-beta.7/4.0.0-beta.8?slim=true)](https://docs.renovatebot.com/merge-confidence/)
|

---

### Release Notes

<details>
<summary>algolia/docsearch (@&#8203;docsearch/react)</summary>

###
[`v4.0.0-beta.8`](https://redirect.github.com/algolia/docsearch/blob/HEAD/CHANGELOG.md#400-beta8-2025-08-28)

[Compare
Source](https://redirect.github.com/algolia/docsearch/compare/v4.0.0-beta.7...v4.0.0-beta.8)

##### Bug Fixes

- **docsearch-js:** provide unmounting function
([#&#8203;2602](https://redirect.github.com/algolia/docsearch/issues/2602))
([ba1573f](https://redirect.github.com/algolia/docsearch/commit/ba1573f2a124a9db8942875d02ce6091ce3fc85b))
- **docsearch:** use correct index name for Ask AI localStorage keys
([#&#8203;2733](https://redirect.github.com/algolia/docsearch/issues/2733))
([e2fe65e](https://redirect.github.com/algolia/docsearch/commit/e2fe65e739a5222042441b849270b63d177affb2))
- document open in new tab
([#&#8203;2737](https://redirect.github.com/algolia/docsearch/issues/2737))
([d26e13d](https://redirect.github.com/algolia/docsearch/commit/d26e13de289662560aadf892c7af0c686a6922ee))
- ensure content items are saved to recent searches
([#&#8203;2738](https://redirect.github.com/algolia/docsearch/issues/2738))
([e8ba175](https://redirect.github.com/algolia/docsearch/commit/e8ba175868822888f3dc9bf7da46623d560a4353))
- modal layout issues with footer positioning
([#&#8203;2734](https://redirect.github.com/algolia/docsearch/issues/2734))
([4d042d6](https://redirect.github.com/algolia/docsearch/commit/4d042d68a3f1512c342cae4726cda361044e7211))

##### Features

- **docs:** Add Ask AI error documentation
([#&#8203;2726](https://redirect.github.com/algolia/docsearch/issues/2726))
([f065790](https://redirect.github.com/algolia/docsearch/commit/f065790ce6796c46aa23593fa65667423c9f6bd7))

</details>

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package.json

@@ -16,7 +16,7 @@
   "dependencies": {
     "@contentsgarten/html": "1.3.0",
     "@docsearch/css": "^3.9.0",
-    "@docsearch/react": "4.0.0-beta.7",
+    "@docsearch/react": "4.0.0-beta.8",
     "@doist/typist": "8.0.2",
     "@dtinth/comparator": "0.0.3",
     "@fastify/middie": "9.0.3",