Let handler perform input layer creation.

The creation of a view for statusBarInputLayer added significant latency
to bindData calls in AppHandleViewHolder. This CL has the handler post
those interactions with the view instead.

Bug: 360393260
Test: Manual, check perfetto trace for
DesktopModeWindowDecoration#relayout-binding.
Flag: EXEMPT, bugfix

Change-Id: Iae9b38f6695675ca8c9b34de4f6f86736fa91682