Holding priority, cast Dualcaster Mage by paying its mana cost.
When Dualcaster Mage enters, it triggers, copying Reincarnation, with the copy targeting Dualcaster Mage.
Resolve the copy of Reincarnation.
Holding priority, activate Umbral Collar Zealot by sacrificing Dualcaster Mage.
When Dualcaster Mage dies, Reincarnation triggers, returning Dualcaster Mage from your graveyard to the battlefield.
Repeat from step 3.
Resolve all Umbral Collar Zealot abilities from step 5.
This intricate loop relies on Dualcaster Mage copying Reincarnation right as it enters the battlefield, creating a self-sustaining cycle where the spell targets the Mage itself. Because Reincarnation triggers whenever the chosen creature dies this turn, you can safely sacrifice Dualcaster Mage to Umbral Collar Zealot's ability to trigger its surveil 1 while simultaneously satisfying the return condition. Each time the Mage loops back from the graveyard, it copies Reincarnation anew to repeat the entire process, generating infinite triggers and card selection.