fix(deps): update dependency @vitejs/plugin-react to v5.1.1 (#1523)

This PR contains the following updates:

| Package | Change | Age | Confidence |
|---|---|---|---|
|
[@vitejs/plugin-react](https://redirect.github.com/vitejs/vite-plugin-react/tree/main/packages/plugin-react#readme)
([source](https://redirect.github.com/vitejs/vite-plugin-react/tree/HEAD/packages/plugin-react))
| [`5.1.0` ->
`5.1.1`](https://renovatebot.com/diffs/npm/@vitejs%2fplugin-react/5.1.0/5.1.1)
|
[![age](https://developer.mend.io/api/mc/badges/age/npm/@vitejs%2fplugin-react/5.1.1?slim=true)](https://docs.renovatebot.com/merge-confidence/)
|
[![confidence](https://developer.mend.io/api/mc/badges/confidence/npm/@vitejs%2fplugin-react/5.1.0/5.1.1?slim=true)](https://docs.renovatebot.com/merge-confidence/)
|

---

### Release Notes

<details>
<summary>vitejs/vite-plugin-react
(@&#8203;vitejs/plugin-react)</summary>

###
[`v5.1.1`](https://redirect.github.com/vitejs/vite-plugin-react/blob/HEAD/packages/plugin-react/CHANGELOG.md#511-2025-11-12)

[Compare
Source](https://redirect.github.com/vitejs/vite-plugin-react/compare/3e5a3742e94be975cbcec230fbab5e801b80dc5b...23db72731b7c9c3d57a8188f0395d2ec90a6e2f6)

##### Update code to support newer `rolldown-vite`
([#&#8203;976](https://redirect.github.com/vitejs/vite-plugin-react/pull/976))

`rolldown-vite` will remove `optimizeDeps.rollupOptions` in favor of
`optimizeDeps.rolldownOptions` soon. This plugin now uses
`optimizeDeps.rolldownOptions` to support newer `rolldown-vite`. Please
update `rolldown-vite` to the latest version if you are using an older
version.

</details>

---

### Configuration

📅 **Schedule**: Branch creation - "before 6am on Saturday" in timezone
Europe/Oslo, Automerge - At any time (no schedule defined).

🚦 **Automerge**: Disabled by config. Please merge this manually once you
are satisfied.

♻ **Rebasing**: Whenever PR becomes conflicted, or you tick the
rebase/retry checkbox.

🔕 **Ignore**: Close this PR and you won't be reminded about this update
again.

---

- [ ] <!-- rebase-check -->If you want to rebase/retry this PR, check
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---

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apps/docs/package.json

@@ -34,7 +34,7 @@
     "@tanstack/nitro-v2-vite-plugin": "1.133.19",
     "@tanstack/react-router": "1.135.0",
     "@tanstack/react-start": "1.135.0",
-    "@vitejs/plugin-react": "5.1.0",
+    "@vitejs/plugin-react": "5.1.1",
     "cva": "1.0.0-beta.4",
     "groq": "4.14.2",
     "prism-react-renderer": "2.4.1",