Activate Arbor Elf by tapping it, untapping the enchanted forest.
Activate the ability granted to the Forest by Gift of Paradise, adding {U}{U}.
Activate Freed from the Real by paying {U}, untapping Arbor Elf.
Repeat.
Once you have infinite blue mana, you may tap the Forest for other colors instead of blue, adding infinite colored mana.

Infinite colored mana

Arbor Elf

Gift of Paradise

Freed from the Real

Activate Simic Growth Chamber and the land with Gift of Paradise attached by tapping them, adding {1}{G}{G}{U}.
Cast Snap by paying {1}{U}, targeting Eternal Witness.
Ivy triggers, copying Snap, targeting Ivy.
Resolve the copy of Snap, returning Ivy from the battlefield to your hand and untapping Simic Growth Chamber and the land with Gift of Paradise attached.
Activate Simic Growth Chamber and the land with Gift of Paradise attached by tapping them, adding {2}{G}{U}.
Resolve Snap, returning Eternal Witness from the battlefield to your hand and untapping Simic Growth Chamber and the land with Gift of Paradise attached.
Cast Ivy by paying {G}{U}.
Cast Eternal Witness by paying {1}{G}{G}.
Eternal Witness enters the battlefield, returning Snap from your graveyard to your hand.
Repeat.

Infinite creature ETB

Infinite creature LTB

Infinite magecraft triggers

Infinite storm count

Infinite mana lands you control can produce

Infinite untap of lands you control

Ivy, Gleeful Spellthief

Snap

Eternal Witness

Simic Growth Chamber

Activate Simic Growth Chamber and the land with Gift of Paradise attached by tapping them, adding {G}{U}{U}{U}.
Cast Snap by paying {1}{U}, targeting Archaeomancer.
Ivy triggers, copying Snap, targeting Ivy.
Resolve the copy of Snap, returning Ivy from the battlefield to your hand and untapping Simic Growth Chamber and the land with Gift of Paradise attached.
Activate Simic Growth Chamber and the land with Gift of Paradise attached by tapping them, adding {2}{G}{U}.
Resolve Snap, returning Archaeomancer from the battlefield to your hand and untapping Simic Growth Chamber and the land with Gift of Paradise attached.
Cast Ivy by paying {G}{U}.
Cast Archaeomancer by paying {2}{U}{U}.
Archaeomancer enters the battlefield, returning Snap from your graveyard to your hand.
Repeat.

Infinite green mana

Infinite blue mana

Archaeomancer

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