Cast Blue Sun's Twilight by paying ({5} magic symbol) ({U} magic symbol) ({U} magic symbol) , targeting Archaeomancer.
Thousand-Year Storm triggers, creating at least one copy of Blue Sun's Twilight, targeting Dockside Extortionist and any other creature(s) as applicable.
Resolve the first copy of Blue Sun's Twilight, creating a token copy of Dockside Extortionist.
The Dockside Extortionist token enters the battlefield, creating at least eight Treasure tokens.
Resolve all remaining copies of Blue Sun's Twilight, as applicable.
Resolve the original Blue Sun's Twilight from step 1, creating a token copy of Archaeomancer.
The Archaeomancer token enters the battlefield, returning Blue Sun's Twilight from your graveyard to your hand.
Activate seven Treasure tokens by tapping and sacrificing them, adding ({5} magic symbol) ({U} magic symbol) ({U} magic symbol) .
Repeat.
Once you have infinite mana, you may instead target Archaeomancer and any other creature to get infinite copies of any creature on the battlefield.
Results
Gain control of all creatures.
Infinite colored mana.
Infinite copies of any creature(s) on the battlefield.