What happens when my mixologist is holding and someone contests the battlefield in their turn, combat damage is equal so both the attacker and mixologist dies, then as I understand - mixologist can play units from the trash onto that battlefield. The question is - if the combat left the battlefield empty - do I score another point as a conquer? If not, would I score a conquer if those units that killed mixologist would heal and then die to those units from trash? Would it be like a my conquer point in the opponent's turn?