chore: bump react-dom and @types/react-dom

Bumps [react-dom](https://github.com/react/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 18.3.1 to 19.2.8
- [Release notes](https://github.com/react/react/releases)
- [Changelog](https://github.com/react/react/blob/main/CHANGELOG.md)
- [Commits](https://github.com/react/react/commits/v19.2.8/packages/react-dom)

Updates `@types/react-dom` from 19.2.1 to 19.2.3
- [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: 19.2.8
  dependency-type: direct:production
  update-type: version-update:semver-major
- dependency-name: "@types/react-dom"
  dependency-version: 19.2.3
  dependency-type: direct:development
  update-type: version-update:semver-patch
...

Signed-off-by: dependabot[bot] <support@github.com>

Author: dependabot[bot]

package-lock.json

@@ -63,7 +63,7 @@
     "lucide-react": "^0.503.0",
     "prism-react-renderer": "^2.3.0",
     "react": "^18.3.1",
-    "react-dom": "^18.3.1",
+    "react-dom": "^19.2.8",
     "react-icons": "^5.7.0",
     "react-slot-counter": "^3.3.1",
     "rehype-katex": "^7.0.1",
@@ -82,7 +82,7 @@
     "@tailwindcss/postcss": "^4.3.2",
     "@types/canvas-confetti": "^1.9.0",
     "@types/react": "^19.1.9",
-    "@types/react-dom": "^19.1.7",
+    "@types/react-dom": "^19.2.3",
     "@typescript-eslint/eslint-plugin": "^8.64.0",
     "@typescript-eslint/parser": "^8.63.0",
     "autoprefixer": "^10.5.4",