Cast Awakened Awareness for X=4 by paying {4}{U}{U}.
Sage of Hours triggers, putting a +1/+1 counter on itself.
Awakened Awareness enters the battlefield, putting four +1/+1 counters on Sage of Hours.
Activate Sage of Hours by removing all +1/+1 counters from it, causing you to take at least one extra turn after this one.
At the beginning of your next extra turn's upkeep, Shimmerwing Chimera triggers, causing you to return Awakened Awareness from the battlefield to your hand.
Repeat.

Infinite turns

Sage of Hours

Shimmerwing Chimera

Awakened Awareness

Cast Awakened Awareness for X=4 by paying {4}{U}{U}.
Sage of Hours triggers, putting a +1/+1 counter on itself.
Awakened Awareness enters the battlefield, putting four +1/+1 counters on Sage of Hours.
Activate Sage of Hours by removing all +1/+1 counters from it, causing you to take at least one extra turn after this one.
At the beginning of your next extra turn's upkeep, Riptide Chimera triggers, causing you to return Awakened Awareness from the battlefield to your hand.
Repeat.

Riptide Chimera

Cast Awakened Awareness by paying {U}{U}, attaching it to Tree of Redemption.
On the end step prior to your next turn, activate Tree of Redemption by tapping it, causing your life total to become one.
At the beginning of your upkeep, Near-Death Experience triggers, causing you to win the game.

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