With Android T coming up https://developer.android.com/about/versions/13,
Flutter tool should bump the targetSdkVersion to 33, which can be done by changing a single value in the Flutter SDK:

https://developer.android.com/reference/android/os/Build.VERSION_CODES#TIRAMISU