Activate Arbor Elf by tapping it, untapping the Forest that has Elvish Guidance attached.
Activate the Forest by tapping it, adding {G}.
Elvish Guidance triggers, adding at least {G}{G}{G}{G}.
Activate Staff of Domination's third ability by paying {3}, untapping Arbor Elf.
Activate Staff of Domination's first ability by paying {1}, untapping it.
Repeat.
Once you have infinite mana, you may use it to activate Staff of Domination's other abilities.

Infinite card draw

Infinite draw triggers

Infinite green mana

Infinite lifegain

Infinite lifegain triggers

Infinite untap of creatures you control

Infinite mana creatures you control can produce

Elvish Guidance

Arbor Elf

Staff of Domination

Activate Arbor Elf by tapping it, untapping the Forest that has Elvish Guidance attached.
Activate the Forest by tapping it, adding {G}.
Elvish Guidance triggers, adding at least {G}{G}{G}.
Activate Arbor Elf by paying {3} and untapping it, giving it +2/+2 until end of turn.
Repeat.

Infinitely large creature until end of turn

Umbral Mantle

Activate Arbor Elf by tapping it, untapping the Forest that has Elvish Guidance attached.
Activate the Forest by tapping it, adding {G}.
Elvish Guidance triggers, adding at least {G}{G}{G}.
Activate Sword of the Paruns by paying {3}, untapping Arbor Elf.
Repeat.

Sword of the Paruns

Activate the land with Elvish Guidance attached by tapping it, adding at least {1}.
Elvish Guidance triggers, adding at least {G}.
Activate Wirewood Lodge's second ability by paying {G} and tapping it, untapping Argothian Elder.
Activate Argothian Elder by tapping it, untapping the land with Elvish Guidance attached and Wirewood Lodge.
Repeat.
If you control at least one additional Elf, this combo nets infinite green mana, and you may tap other lands for mana.

Infinite mana lands you control can produce

Infinite untap of lands you control

Argothian Elder

Wirewood Lodge

Activate the basic land with Elvish Guidance attached by tapping it, adding one mana.
Elvish Guidance triggers, adding at least two additional mana.
Activate Earthcraft by tapping Gilder Bairn, untapping the basic land.
Activate Gilder Bairn by paying {2}{G/U} and untapping it, doubling the counters on target permanent.
Repeat.

Infinite proliferate for permanents

Gilder Bairn

Earthcraft

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