chore(examples): upgrade with-react-native-web dependencies (vercel…

…#41024)

Closes vercel#41010

## Bug

- [ ] Related issues linked using `fixes #number`
- [ ] Integration tests added
- [ ] Errors have a helpful link attached, see `contributing.md`

## Feature

- [ ] Implements an existing feature request or RFC. Make sure the
feature request has been accepted for implementation before opening a
PR.
- [ ] Related issues linked using `fixes #number`
- [ ] Integration tests added
- [ ] Documentation added
- [ ] Telemetry added. In case of a feature if it's used or not.
- [ ] Errors have a helpful link attached, see `contributing.md`

## Documentation / Examples

- [ ] Make sure the linting passes by running `pnpm lint`
- [ ] The "examples guidelines" are followed from [our contributing
doc](https://github.com/vercel/next.js/blob/canary/contributing/examples/adding-examples.md)

examples/with-react-native-web/package.json

@@ -7,11 +7,11 @@
   },
   "dependencies": {
     "next": "latest",
-    "react": "^17.0.2",
-    "react-dom": "^17.0.2",
-    "react-native-web": "^0.13.14"
+    "react": "^18.2.0",
+    "react-dom": "^18.2.0",
+    "react-native-web": "^0.18.9"
   },
   "devDependencies": {
-    "babel-plugin-react-native-web": "^0.13.14"
+    "babel-plugin-react-native-web": "^0.18.9"
   }
 }