## Description

This PR adds a new section to the Android manifest file.
This section is required for https://github.com/flutter/engine/pull/44579 (because it uses `PackageManager.queryIntentActivities` API ), see:

1. https://developer.android.com/training/package-visibility?hl=en
2. https://developer.android.com/reference/android/content/Intent#ACTION_PROCESS_TEXT
3. https://developer.android.com/reference/android/content/pm/PackageManager?hl=en#queryIntentActivities(android.content.Intent,%20android.content.pm.PackageManager.ResolveInfoFlags)

## Related Issue

Android manifest update for https://github.com/flutter/flutter/issues/107603

## Tests

This PR updates the integration tests and examples Android manifest files, this will help catch error or warning related to this change.