With Ob Nixilis, the Hate-Twisted on the battlefield, cast Peer into the Abyss targeting an opponent.
Peer into the Abyss would resolve (with card draw and life loss rounded up in instances of odd number of cards or life), and then the static ability on Ob Nixilis, the Hate-Twisted dealing damage for each card drawn.

Target player loses the game

Ob Nixilis, the Hate-Twisted

Peer into the Abyss

At the beginning of an opponent's upkeep, Assault Suit triggers, giving them control of Vilis.
During that player's next draw step, they draw a card.
Ob Nixilis triggers, dealing 1 damage to that opponent.
Vilis triggers, causing the opponent to draw a card.
Repeat from step 3 until the opponent loses the game either due to drawing from an empty library or by having a life total of 0.
When the opponent loses the game, you regain control of Vilis.
Repeat from step 1 for each remaining opponent.

Each opponent loses the game

Infinite card draw for each opponent

Infinite draw triggers for each opponent

Near-infinite damage

Vilis, Broker of Blood

Assault Suit

Cast Harmless Offering by paying {2}{R}, giving an opponent control of Vilis.
During that player's next draw step, they draw a card.
Ob Nixilis triggers, dealing 1 damage to that opponent.
Vilis triggers, causing the opponent to draw a card.
Repeat from step 3.

Infinite card draw for target opponent

Infinite draw triggers for target opponent

Near-infinite damage to one opponent

Harmless Offering

Deal combat damage to an opponent using Blim.
Blim triggers, giving the opponent control of Vilis.
During that player's next draw step, they draw a card.
Ob Nixilis triggers, dealing 1 damage to that opponent.
Vilis triggers, causing the opponent to draw a card.
Repeat from step 4.

Blim, Comedic Genius

Cast Donate by paying {2}{U}, giving an opponent control of Vilis.
During that player's next draw step, they draw a card.
Ob Nixilis triggers, dealing 1 damage to that opponent.
Vilis triggers, causing the opponent to draw a card.
Repeat from step 3.

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