QSDetailedView: Move spinner to BaseMediaProjectionPermissionViewBinder

Move the logic of controlling the screenShareModeSpinner from the dialog
delegate to the view binder.

This CL follows the refactor mentioned in
go/al-screen-record-detailed-view.

Bug: b/378514312
Flag: NONE refactor
Test: ScreenRecordPermissionDialogDelegateTest,
SystemCastPermissionDialogDelegateTest,
ShareToAppPermissionDialogDelegateTest
Test: Click on screen record tile in the QS -> verify that screen
recording in single app and entire screen both works

Change-Id: I0f77bb420ef5acddb4ecf431a0647131deadb993