Revert "Don't update task to return to type for last task over home"

This reverts commit 21893824.

Original commit revealed issue b/29342752 when launch logic was applied
to incorrect stack while moving to PiP mode.

Bug: 29342752
Bug: 29237751
Change-Id: I88d75399eb4b9daf4de87a9a560eb0df0b515173