Cast Siren's Ruse by paying its mana cost, blinking Abdel Adrian.
Abdel Adrian leaves the battlefield, returning Archaeomancer and all other cards that were exiled with it to the battlefield.
Abdel Adrian and Archaeomancer trigger.
Resolve the Archaeomancer trigger, returning Siren's Ruse from your graveyard to your hand.
Holding priority, activate any number of nonland permanents you control by tapping them, adding at least enough mana to cast Siren's Ruse.
Resolve the Abdel Adrian trigger, exiling Archaeomancer and the mana-producing permanents until Abdel Adrian leaves the battlefield, and creating a 1/1 Soldier creature token for each permanent exiled this way.
Repeat.
This charming loop transforms simple reconnaissance into an infinite engine by using Abdel Adrian, Gorion's Ward as a revolving door for your battlefield. When you cast Siren's Ruse to blink Abdel Adrian, his departure triggers a cascade that brings back Archaeomancer, whose own entry brings the spell right back to your hand. Meanwhile, Abdel Adrian's re-entry allows you to swallow up your mana-producing permanents and other nonlands—along with Archaeomancer herself—while leaving behind a massive army of 1/1 Soldier tokens.