Cast Timestream Navigator by paying {1}{U}.
Archmage of Echoes triggers, copying the Timestream Navigator spell.
Resolve both Timestream Navigator spells.
If you don't have the city's blessing, either the Timestream Navigator token or the nontoken Timestream Navigator gives you the city's blessing.
During your next turn, activate Riptide Laboratory's second ability by paying {1}{U} and tapping it, returning the nontoken Timestream Navigator to your hand from the battlefield.
Activate the ability of the Timestream Navigator token by paying {2}{U}{U}, tapping it and putting on the bottom of your library, causing you to take an extra turn after that one.
Repeat.

Infinite turns

Timestream Navigator

Riptide Laboratory

Archmage of Echoes

Activate up to two lands by tapping them, adding at least {1}{U}.
Cast Cloud of Faeries by paying {1}{U}.
Archmage of Echoes triggers, copying Cloud of Faeries.
Resolve the copy of the Cloud of Faeries spell, creating a token copy of it.
When the Cloud of Faeries token enters the battlefield, it triggers, untapping up to two lands.
Activate up to two lands by tapping them, adding at least {1}{U}.
Resolve the original Cloud of Faeries spell.
When Cloud of Faeries enters the battlefield, it triggers, untapping up to two lands.
Cast either Quickling or Faerie Impostor from your hand by paying its mana cost.
Archmage of Echoes triggers, copying the Quickling or Faerie Impostor spell.
Resolve the copy of the Quickling or Faerie Impostor spell, creating a token copy of it.
When the Quickling or Faerie Impostor token enters the battlefield, it triggers, returning Quickling or Faerie Impostor from the battlefield to your hand.
Resolve the original Quickling or Faerie Impostor spell.
When Quickling or Faerie Impostor enters the battlefield, it triggers, returning Cloud of Faeries from the battlefield to your hand.
Repeat.

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