QSDetailedView: Add view binder to ScreenRecordDetailsViewModel

Add an instance of ScreenRecordPermissionViewBinder and
RecordingController to ScreenRecordDetailsViewModel to control the logic
within the UI of screen record details view. With CL, we can complete
the full flow of start screen recording with any configurations within
the screen record details view.

Bug: b/378514312
Flag: com.android.systemui.qs_tile_detailed_view
Test: ScreenRecordTileTest, ScreenRecordPermissionDialogDelegateTest
Test: Click on screen record tile in the QS -> can start do screen
recording within the details view.

Change-Id: Ifc64cfed4243e885694c0e99edc5f7ab898ce464