QSDetailedView: Move init views and start record callback to view binder

Move initRecordOptionsView() and all the functionalities to construct
start button callback from ScreenRecordPermissionDialogDelegate to
ScreenRecordPermissionViewBinder.

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

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

Change-Id: I5231db4ca84aa1bbdfca5d89422421d655510865