`NoClassDefFoundError` for `com/android/tools/idea/IdeInfo`

[AlexV525]

When disabled the Android plugin:

2025-07-25 11:30:03,037 [   7463] SEVERE - #c.i.o.a.i.FlushQueue - com/android/tools/idea/IdeInfo
java.lang.NoClassDefFoundError: com/android/tools/idea/IdeInfo
	at io.flutter.FlutterUtils.isAndroidStudio(FlutterUtils.java:93)
	at io.flutter.FlutterInitializer.showAndroidStudioBotNotification(FlutterInitializer.java:382)
	at io.flutter.FlutterInitializer.edtInitialization(FlutterInitializer.java:213)
	at io.flutter.FlutterInitializer.lambda$executeProjectStartup$1(FlutterInitializer.java:140)

Additional Context

After #7949, the Android dep became optional. We need to clean up all required dependencies and make them optional. Per #7949 (comment)