Brotherhood of the Fire Fist - Dragon

The effect "Once per turn, if you activate a 'Fire Formation' Spell/Trap Card, you can choose 1 'Fire Formation' Trap Card from your Deck and Set it to your field" is a Trigger Effect. (It does not target. It cannot be activated during the Damage Step.)

The effect "you can choose 1 'Fire Formation' Trap Card from your Deck and Set it to your field" is an effect that is activated after the chain of the "Fire Formation" Spell/Trap Card you activated has finished resolving. (It is not an effect that is activated by chaining directly to the "Fire Formation" Spell/Trap Card you activated.)

The effect "you can choose 1 'Fire Formation' Trap Card from your Deck and Set it to your field" can be activated not only during your turn, but also during your opponent's turn if you activate a "Fire Formation" Trap Card.

The effect "Once per turn, you can send 2 face-up 'Fire Formation' Spell/Trap Cards you control to the Graveyard; target 1 'Fire Star' monster in your Graveyard, except 'Brotherhood of the Fire Fist - Dragon', and Special Summon it" is an Ignition Effect. (It targets 1 "Fire Star" monster in your Graveyard. When activating this effect, you send 2 face-up "Fire Formation" Spell/Trap Cards you control to the Graveyard as a cost.)