For Fire Fist monsters, we are playing 3 Dragon, 3 Elephant, 1 Buffalo, 3 Rooster, 3 Bear, and 3 Gorilla. For Tri-Brigades, we are playing 3 Fraktall, 2 Kerass, 2 Kitt, and 3 Nerval.
For Spell/Traps: 1 Domei, 3 Tenki, 3 Fire Fortress atop Liang Peak, 3 Tensu, 3 Tri-Brigade Roar, 1 Sinto, and 1 Tri-Brigade Revolt.
In our Extra Deck, we have 1 Gladiator Beast Domitianus and 1 Gladiator Beast Tamer Editor. If you get 10 counters on Liang Peak, you can use it to Summon Tamer Editor who summons Domitianus for a free monster negate. 1 Abyss Dweller and 1 Number 106: Giant Hand. If you have seen the MBT video where this Deck was in action, they played Chakanine and Drident, but since Drident is banned, we have to use other Rank 4's. 3 Tiger King. You will need all 3 of them to set up your Fire Formation Spell/Traps as well as Summon Fire Fists from Deck by destroying it with Bear 3 times. 2 Shuraig. 1 Apollousa. 1 Bearbrumm. You are never hard making Bearbrumm until you side in cards to go more Tri-Brigade-orientated, but you can still send it to the GY with Roar in order to search Revolt. 1 Ferrijit. 1 Double Dragon Lords. 2 Brotherhood of the Fire Fist - Eagle. This card is just absolutely stupid as it allows you to use all of the Fire Fist effects for free and it can dump Buffalo for a free Summon.
We are siding 1 Gladiator Beast Heraklinos which can replace Domitianus if you know your opponent is playing a more Spell/Trap heavy Deck. The rest is mainly going second cards like Evenly Matched and Dark Ruler No More. The others are cards you can side in to play more of a standard Tri-Brigade Deck by siding out the Bears and the Gorillas and the Liang Peaks.
Full combo is access to the Fraktall line as well as Rank 4 access with access to Fire Fist Bear. If you have Dragon and another Fire Fist, you can discard the extra Fire Fist for Kerass and get out Eagle and use Dragon to Summon back the Fire Fist you discarded. If you have Elephant, you can discard some other Beast, Beast Warrior, or Winged Beast for Kerass, make Eagle, and Normal Elephant to get out another Fire Fist from hand. Then, if you have any Fire Formation on field, you can use Eagle to return it to hand to dump Buffalo from Deck for a Level 4 body. Either way, you want Eagle on field along with 3 Fire Fist monsters, one of them being Bear and the others being any Level 4. The two Level 4's make Tiger King who sets Liang Peak. You then use Bear to pop Tiger King to get a Gorilla and a Bear from Deck. Your spent Bear and Gorilla make another Tiger King who sets Sinto. Bear destroys it again and you summon another Gorilla and Bear. Make another Tiger King who sets Domei, Tensu, or Tenki (whichever you don't have). Bear destroys it and it Summons 2 Dragons from Deck. Link off some stuff for something like Ferrijit or Apollousa in order to clear the field. The first Dragon summons back Tiger King and the other Summons back Bear. The two Dragons make a Rank 4 like Dweller or Giant Hand to clear the field again. Then, you can use Bear to pop Tiger King again for 2 Fraktall. At this point, you can Xyz or Link Summon another monster to clear the board. Fraktall banish 2 to summon Double Dragon Lords. From there, you can continue Linking off to clear the board. Here, you can continue extending with Tensu or Buffalo (if it is still in GY), or if you have 10 counters on Liang Peak, you can Summon Tamer Editor who Summons Domitianus or Heraklinos. If you have Tri-Brigade Roar during this whole thing, you can set it as a monster negate or use it to send Bearbrumm to grab Revolt.