[Docs Site] Bump react-dom and @types/react-dom

Bumps [react-dom](https://github.com/facebook/react/tree/HEAD/packages/react-dom) and [@types/react-dom](https://github.com/DefinitelyTyped/DefinitelyTyped/tree/HEAD/types/react-dom). These dependencies needed to be updated together.

Updates `react-dom` from 19.0.0 to 19.1.1
- [Release notes](https://github.com/facebook/react/releases)
- [Changelog](https://github.com/facebook/react/blob/main/CHANGELOG.md)
- [Commits](https://github.com/facebook/react/commits/v19.1.1/packages/react-dom)

Updates `@types/react-dom` from 19.0.4 to 19.1.9
- [Release notes](https://github.com/DefinitelyTyped/DefinitelyTyped/releases)
- [Commits](https://github.com/DefinitelyTyped/DefinitelyTyped/commits/HEAD/types/react-dom)

---
updated-dependencies:
- dependency-name: react-dom
  dependency-version: 19.1.1
  dependency-type: direct:development
  update-type: version-update:semver-minor
- dependency-name: "@types/react-dom"
  dependency-version: 19.1.9
  dependency-type: direct:development
  update-type: version-update:semver-minor
...

Signed-off-by: dependabot[bot] <[email protected]>

Author: dependabot[bot]

package-lock.json

@@ -54,7 +54,7 @@
 		"@types/mdast": "4.0.4",
 		"@types/node": "24.3.0",
 		"@types/react": "19.0.7",
-		"@types/react-dom": "19.0.4",
+		"@types/react-dom": "19.1.9",
 		"@typescript-eslint/parser": "8.42.0",
 		"algoliasearch": "5.37.0",
 		"astro": "5.13.5",
@@ -98,7 +98,7 @@
 		"prettier-plugin-tailwindcss": "0.6.14",
 		"pretty-bytes": "7.0.1",
 		"react": "19.0.0",
-		"react-dom": "19.0.0",
+		"react-dom": "19.1.1",
 		"react-icons": "5.5.0",
 		"react-instantsearch": "7.16.2",
 		"react-markdown": "10.1.0",