Activate Umbral Collar Zealot by sacrificing the persist creature.
When the persist creature dies, it and Dragon Appeasement trigger.
Resolve the Dragon Appeasement trigger, causing you to draw a card.
Resolve the persist creature's trigger, returning it from your graveyard to the battlefield with a -1/-1 counter on it.
When the persist creature enters the battlefield, Olivia triggers, putting a +1/+1 counter on the persist creature and causing you to discard a card.
Resolve the Umbral Collar Zealot ability.
Repeat.
This clever loop lets you turn a single persist creature into a self-sustaining engine of card draw and graveyard filling. By sacrificing the persist creature to Umbral Collar Zealot, you trigger Dragon Appeasement to draw a card, which conveniently feeds the discard requirement of Olivia, Mobilized for War when the creature returns. Olivia's passive triggered ability ensures the returning creature immediately receives a +1/+1 counter to cancel out its -1/-1 counter, resetting the persist mechanic for the next iteration.