[3/3] Update the output chips model following go/chip-transitions-proposal.

The new version doesn't have an internal model, which doesn't seem
necessary now that all chips are always included, whether active or
not. Not sure if they have another use that I'm missing.

Bug: 273205603
Flag: com.android.systemui.status_bar_chips_modernization
Flag: com.android.systemui.status_bar_root_modernization
Test: atest OngoingActivityChipsWithNotifsViewModelTest HomeStatusBarViewModelImplTest
Change-Id: I92468166eb4e2ff52dcd92986498b7dcf1cec1a5