3.2 Introduce a new version of startIntentWithAnimation.

This new API uses RemoteTransition instead of the old
RemoteAnimationAdapter.

Trying to make each of the CLs as small as possible to keep them
digestible and low risk. For the refactor plan see
go/animlib-shell-refactor-plan.

Bug: 397180418
Flag: com.android.systemui.animation_library_shell_migration
Test: atest ActivityTransitionAnimatorTest + manual
Change-Id: Ia6b4c51548e38b450a40fd62364193e24bdfd263