build(deps): bump react, react-dom and @types/react in /react-example

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

Updates `react` from 18.3.1 to 19.0.0
- [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/v19.0.0/packages/react)

Updates `react-dom` from 18.3.1 to 19.0.0
- [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/v19.0.0/packages/react-dom)

Updates `@types/react` from 18.3.12 to 19.0.1
- [Release notes](https://github.com/DefinitelyTyped/DefinitelyTyped/releases)
- [Commits](https://github.com/DefinitelyTyped/DefinitelyTyped/commits/HEAD/types/react)

---
updated-dependencies:
- dependency-name: react
  dependency-type: direct:production
  update-type: version-update:semver-major
- dependency-name: react-dom
  dependency-type: direct:production
  update-type: version-update:semver-major
- dependency-name: "@types/react"
  dependency-type: direct:development
  update-type: version-update:semver-major
...

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

react-example/package.json

@@ -10,12 +10,12 @@
   "dependencies": {
     "@db-ui/react-components": "^0.6.0",
     "classnames": "^2.5.1",
-    "react": "^18.3.0",
-    "react-dom": "^18.3.1",
+    "react": "^19.0.0",
+    "react-dom": "^19.0.0",
     "sass": "^1.82.0"
   },
   "devDependencies": {
-    "@types/react": "^18.3.12",
+    "@types/react": "^19.0.1",
     "@types/react-dom": "^18.3.1",
     "@vitejs/plugin-react": "^4.3.4",
     "typescript": "^5.7.2",