Cast Persist by paying its mana cost, targeting any applicable target.
Holding priority, cast Dualcaster Mage by paying its mana cost.
When Dualcaster Mage enters, it triggers, targeting Persist.
Holding priority, activate Ashnod's Altar by sacrificing Dualcaster Mage.
Resolve the Dualcaster Mage trigger, copying Persist, with the copy targeting Dualcaster Mage
Resolve the Persist copy, returning Dualcaster Mage from your graveyard to the battlefield.
Repeat from step 3.

Infinite colorless mana

Infinite death triggers

Infinite ETB

Infinite LTB

Infinite magecraft triggers

Infinite sacrifice triggers

Ashnod's Altar

Dualcaster Mage

Persist

Cast Burnt Offering by paying {B} and sacrificing Archaeomancer, adding {2}{B}{B}.
Cast Persist by paying {1}{B}, returning Archaeomancer from your graveyard to the battlefield with a -1/-1 counter on it.
Archaeomancer enters the battlefield, triggering itself and Inalla.
Resolve the Archaeomancer trigger, returning Burnt Offering from your graveyard to your hand.
Resolve the Inalla trigger, causing you to pay {1} to create a token copy of Archaeomancer with haste.
The token Archaeomancer enters the battlefield, returning Persist from your graveyard to your hand.
Repeat.
Once you have infinite Archaeomancer tokens, if Inalla is on the battlefield, you may activate Inalla's ability infinite times to cause infinite lifeloss for opponents.

Infinite creature tokens with haste

Infinite lifeloss

Infinite storm count

Inalla, Archmage Ritualist

Archaeomancer

Burnt Offering

Cast Culling the Weak by paying {B} and sacrificing Archaeomancer, adding {B}{B}{B}{B}.
Cast Persist by paying {1}{B}, returning Archaeomancer from your graveyard to the battlefield with a -1/-1 counter on it.
Archaeomancer enters the battlefield, triggering itself and Inalla.
Resolve the Archaeomancer trigger, returning Culling the Weak from your graveyard to your hand.
Resolve the Inalla trigger, causing you to pay {1} to create a token copy of Archaeomancer with haste.
The token Archaeomancer enters the battlefield, returning Persist from your graveyard to your hand.
Repeat.
Once you have infinite Archaeomancer tokens, if Inalla is on the battlefield, you may activate Inalla's ability infinite times to cause infinite lifeloss for opponents.

Culling the Weak

Cast Sacrifice by paying {B} and sacrificing Archaeomancer, adding {B}{B}{B}{B}.
Cast Persist by paying {1}{B}, returning Archaeomancer from your graveyard to the battlefield with a -1/-1 counter on it.
Archaeomancer enters the battlefield, triggering itself and Inalla.
Resolve the Archaeomancer trigger, returning Sacrifice from your graveyard to your hand.
Resolve the Inalla trigger, causing you to pay {1} to create a token copy of Archaeomancer with haste.
The token Archaeomancer enters the battlefield, returning Persist from your graveyard to your hand.
Repeat.
Once you have infinite Archaeomancer tokens, if Inalla is on the battlefield, you may activate Inalla's ability infinite times to cause infinite lifeloss for opponents.

Sacrifice

Combos with "Persist"