The Deplete Objective measured how many Cards remain in Ally HQs.
In PvX Formats the Condition is:
Deplete = # HQ Cards == 0
In TvX Formats the Condition is:
Slow Deplete = # Sum HQ Cards == 0 Fast Deplete = # Any HQ Cards == 0
In Slow Deplete, a Player may continue to play with whatever Units they have available as long as they are able.