Cast Temporal Manipulation by paying ({3} magic symbol) ({U} magic symbol) ({U} magic symbol) , granting you an extra turn after this one.
Cast Mystic Reflection by paying ({1} magic symbol) ({U} magic symbol) , causing the next creatures or planeswalkers to enter the battlefield this turn to enter as copies of Archaeomancer.
Cast Spore Swarm by paying ({3} magic symbol) ({G} magic symbol) , creating three token copies of Archaeomancer.
Each of the Archaeomancer's ETBs trigger, returning Mystic Reflection, Temporal Manipulation, and Spore Swarm to your hand.