chore(deps): bump react from 19.0.0 to 19.1.0 in /example

Bumps [react](https://github.com/facebook/react/tree/HEAD/packages/react) from 19.0.0 to 19.1.0.
- [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/v19.1.0/packages/react)

---
updated-dependencies:
- dependency-name: react
  dependency-version: 19.1.0
  dependency-type: direct:production
  update-type: version-update:semver-minor
...

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

Author: dependabot[bot]

example/package.json

@@ -21,7 +21,7 @@
     "chance": "^1.1.9",
     "events": "^3.3.0",
     "expo-status-bar": "^1.12.1",
-    "react": "19.0.0",
+    "react": "19.1.0",
     "react-native": "0.78.0",
     "react-native-nitro-modules": "0.24.1",
     "react-native-nitro-sqlite": "9.1.8",