Cast Ghostly Flicker by paying , targeting Paradise Plume and Archaeomancer, blinking them as well as triggering Paradise Plume to gain you 1 life.
When Archaeomancer enters the battlefield, return Ghostly Flicker to you hand.
When Paradise Plume enters the battlefield, choose "blue".
Repeat.
This clever loop turns a modest flicker spell into an infinite engine by drastically altering the math of the stack, fueled by Arcane Melee making Ghostly Flicker cost a mere single blue mana. Once Paradise Plume is set to blue, tapping it for mana helps fund the spell while rewarding your spellcasting with steady life gain. As Archaeomancer repeatedly enters the battlefield, its triggered ability claws Ghostly Flicker right back out of your graveyard to hand, resetting the board with fresh enter-the-battlefield triggers from both permanent types over and over again.