Jin-Gitaxias // The Great Synthesis | Time Stretch

Cards

Time Stretch in hand.
Jin-Gitaxias // The Great Synthesis and
Archaeomancer on the battlefield (
Jin-Gitaxias // The Great Synthesis as
The Great Synthesis and with two lore counters on it).

At the beginning of your precombat main phase,
The Great Synthesis triggers, putting a lore counter on it. Its third chapter ability then triggers, causing you to cast
Time Stretch and
Archaeomancer without paying their mana costs, and then exiling
The Great Synthesis and returning it to the battlefield as
Jin-Gitaxias.
Resolve
Time Stretch, causing you to take two extra turns after this one.
Resolve the
Archaeomancer spell. When it enters, it triggers, returning
Time Stretch from your graveyard to your hand.
Activate
Jin-Gitaxias by paying ({3} magic symbol) ({U} magic symbol) , exiling it and returning it to the battlefield as
The Great Synthesis.
When
The Great Synthesis enters with a lore counter on it, its first ability triggers, causing you to draw cards equal to the number of cards in your hand and not have a maximum hand size for the rest of the game.
Move to your first extra turn. At the beginning of your precombat main phase,
The Great Synthesis triggers, putting a lore counter on it. Its second chapter ability then triggers, returning all non-Phyrexian creatures (including
Archaeomancer) from the battlefield to their owner's hand.
Repeat from step 1 during your second extra turn.

The combo is listed as near-infinite turns because you'll draw cards at a much faster rate than normal, which will result in you getting less turns.

This combo has been estimated to be Ruthless (Bracket 4+).