Cast Dance with Calamity by paying {7}{R}, exiling a number of cards from your library equal to the life total of an opponent.
The War Doctor's first ability triggers once for each card exiled, putting that many time counters on The War Doctor.
Declare The War Doctor as an attacker.
When The War Doctor attacks, its last ability triggers, dealing damage to an opponent equal to the number of time counters on The War Doctor.

Near-infinite damage to one opponent

The War Doctor

Dance with Calamity

Cast the self-suspending card by paying its mana cost if its in your hand, or any other spell otherwise if you have not cast a spell this turn.
Cast Time Warp by paying its mana cost.
Taigam triggers, copying Time Warp and then exiling it with four time counters on it and giving it suspend.
Resolve the copy of Time Warp, causing you to take an extra turn after this one.
Move to your next turn. At the beginning of that turn's upkeep, Time Warp and the self-suspending card's suspend abilities trigger, removing a time counter from each of them.
Activate The Tenth Doctor by paying {7}, removing three time counters from Time Warp and the self-suspending card, triggering their suspend abilities.
Resolve the self-suspending card's suspend trigger, causing you to cast it from exile without paying its mana cost, and eventually exile it with time counters on it.
Resolve the Time Warp's suspend trigger, causing you to cast it from exile without paying its mana cost.
Repeat from step 3.

Infinite turns

Lock

Self-Suspending Instant or Sorcery

The Tenth Doctor

Taigam, Master Opportunist

Time Warp

Declare any creature as an attacker. When you do, Doom's Time Platform triggers, exiling Time Warp from your graveyard with two time counters on it.
Activate The Tenth Doctor by paying {7}, removing the time counters from Time Warp.
Time Warp's suspend ability triggers, causing you to cast it without paying its mana cost.
Resolve Time Warp, causing you to take an extra turn after this one.
Repeat each turn.

Doom's Time Platform

Activate Sensei's Divining Top's second ability by tapping it, causing you to draw a card and put Sensei's Divining Top on top of your library.
Cast Sensei's Divining Top by paying {0} and removing a counter from a creature you control.
The Thirteenth Doctor triggers, putting a +1/+1 counter on it.
Repeat.

Near-infinite artifact ETB

Near-infinite artifact LTB

Infinite card draw

Infinite draw triggers

Near-infinite storm count

Falco Spara, Pactweaver

Sensei's Divining Top

The Thirteenth Doctor

Heliod, the Radiant Dawn // Heliod, the Warped Eclipse

Cast Sensei's Divining Top either from your hand or from the top of your library by paying {0}.
Displacer Kitten triggers, and The Fourth Doctor triggers if you had cast Sensei's Divining Top from your library.
Resolve the Displacer Kitten trigger, blinking The Fourth Doctor.
Resolve the Fourth Doctor trigger, if applicable, creating a Food token.
Activate Sensei's Divining Top's second ability by tapping it, causing you to draw a card and put Sensei's Divining Top onto the top of your library.
Repeat.

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