Cast Goblin Recruiter by paying {1}{R}.
Search your library for Mogg Fanatic, Kiki-Jiki, Torch Courier, and Conspicuous Snoop, and put them on top of your library in that order.
Draw a card by any method.
Cast Conspicuous Snoop by paying {R}{R}.
Cast Torch Courier from the top of your library by paying {R}.
Activate Torch Courier by sacrificing it, giving Conspicuous Snoop haste until end of turn.
Activate Conspicuous Snoop using the ability gained due to Kiki-Jiki being on the top of your library by tapping Conspicuous Snoop, creating a token copy of itself.
Repeat step 7 for infinite tapped token copies of Conspicuous Snoop.
Activate your untapped token copy of Conspicuous Snoop by tapping it, creating a token copy of Goblin Recruiter.
The Goblin Recruiter token enters the battlefield, searching your library for Mogg Fanatic and putting it on top of your library.
Sacrifice an arbitrarily large number of Conspicuous Snoop tokens using the ability gained due to Mogg Fanatic being on top of your library for an arbitrarily large amount of damage.

Infinite damage

Infinite death triggers

Infinite creature ETB

Infinite creature LTB

Infinite creature sacrifice triggers

Goblin Recruiter

Conspicuous Snoop

Kiki-Jiki, Mirror Breaker

Torch Courier

Mogg Fanatic

Activate Sidisi by tapping it and sacrificing Coercive Recruiter, returning Sister Hospitaller from your graveyard to the battlefield.
When Sister Hospitaller enters the battlefield, it triggers, returning Coercive Recruiter from your graveyard to the battlefield and causing you to gain 5 life.
When Coercive Recruiter enters the battlefield, it triggers, untapping Sidisi.
Activate Goblin Bombardment by sacrificing Sister Hospitaller.
Repeat.

Infinite lifegain triggers

Infinite lifegain

Sidisi, Regent of the Mire

Sister Hospitaller

Goblin Bombardment

Coercive Recruiter

Activate Goblin Bombardment by sacrificing Priest of Gix.
When Priest of Gix dies, Rakdos triggers.
Holding priority, activate Haunted Crossroads by paying {B}, putting Priest of Gix from your graveyard onto the top of your library.
Resolve the Rakdos trigger, causing you to exile the top three cards of your library with the ability to play them until your next end step.
Resolve the Goblin Bombardment ability from step 1.
Cast Priest of Gix from exile by paying at most {2}.
When Priest of Gix enters the battlefield, it triggers, adding {B}{B}{B}.
Repeat.

Exile your library with the ability to play the exiled cards until your next end step

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