[Docs Site] Bump typescript-eslint from 8.43.0 to 8.44.1 (#25336)

Bumps [typescript-eslint](https://github.com/typescript-eslint/typescript-eslint/tree/HEAD/packages/typescript-eslint) from 8.43.0 to 8.44.1.
- [Release notes](https://github.com/typescript-eslint/typescript-eslint/releases)
- [Changelog](https://github.com/typescript-eslint/typescript-eslint/blob/main/packages/typescript-eslint/CHANGELOG.md)
- [Commits](https://github.com/typescript-eslint/typescript-eslint/commits/v8.44.1/packages/typescript-eslint)

---
updated-dependencies:
- dependency-name: typescript-eslint
  dependency-version: 8.44.1
  dependency-type: direct:development
  update-type: version-update:semver-minor
...

Signed-off-by: dependabot[bot] <[email protected]>
Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com>

Author: dependabot[bot]

package-lock.json

@@ -129,7 +129,7 @@
 		"ts-blank-space": "0.6.2",
 		"tsx": "4.20.5",
 		"typescript": "5.9.2",
-		"typescript-eslint": "8.43.0",
+		"typescript-eslint": "8.44.1",
 		"unified": "11.0.5",
 		"unist-util-visit": "5.0.0",
 		"vite-tsconfig-paths": "5.1.4",