When Siege-Gang Commander enters the battlefield, it and Mana Echoes trigger.
Resolve the Siege-Gang Commander trigger, creating three 1/1 Goblin creature tokens.
When the Goblin tokens enter the battlefield, Mana Echoes triggers three times.
Resolve all four Mana Echoes triggers, adding at least 16.
Activate Signpost Scarecrow four times by paying 8, adding .
Activate Siege-Gang Commander by paying C and sacrificing itself.
Sigil of the New Dawn triggers, causing you to pay C to return Siege-Gang Commander from your graveyard to your hand.
Resolve the Siege-Gang Commander activated ability, dealing 2 damage to any target.
Repeat.
This ingenious loop revolves around the explosive mana generation of Mana Echoes, which scales up exponentially every time a creature enters the battlefield by counting all sharing types. When you cast Siege-Gang Commander, it floods the board with Goblin tokens that supercharge the Mana Echoes triggers into a massive pool of colorless mana. To turn that colorless bounty into the colored mana required to keep going, Signpost Scarecrow steps up to filter your reserves into whatever colors you need. Finally, Siege-Gang Commander sacrifices itself to hurl a barrage of damage, letting Sigil of the New Dawn pluck it right back out of the graveyard so you can recast the whole show from the beginning.