Branded Tri brigade has always been an interesting deck to me, but it's felt like you'd end up foregoing one side of the deck over the other most of the time. I had always thought that the deckbuilds of Branded Tri has been in vain. however I had realized we do indeed have a solution, CRYSTAL BEAST.
With Crystal beasts being an archetype of Tri Beasts that pivot into a Dragon monster in hand, while also being a Rank 4 toobox. you can search both a Branded in High Spirits, as well as a Dragon monster to discard with it to make various fusion plays on your opponent's turn.
The main combo is Fraktall and any beast discard, and plays as follows:
Fraktall > Kitt > Nervall > Kerass To fill up grave after discarding the beast to summon Kerass is a typical play in any tri build.
however, instead of Banishing two to go into Ferijit or bearbrumm, you instead banish all 4 to make Shuraig, then make bearbrumm off the Kerass and Shuraig; who'll then add Crystal beast Sapphire pegasus.
You should then normal for it's effect to crystallize CB Rainbow dragon from deck, while leaving bearbrumm on field to dissuade nibiru until the tail end of the combo.
You then utilize Rainbow to add Rainbow or Rainbow dark and summon Pegasus from deck, then overlay your two Sapphires into Either Merrymaker or Force strix to continue comboing
There are a lot of branching paths with this deck that lead to a lot of variance with endboards, and a ton of things you can tech in. Try experimenting with different engines in the deck!