So this deck isn't super complicated if you're familiar with how to play a Branded deck, though there are possibly some choices I've made that can be altered to make this deck more consistent.
For starter's, I mostly chose the Blue-Eyes engine cause... well I think it's fun to play and I like seeing Neo-Blue-eyes in a deck. Though weirdly, in my practice with the combos I can get from my starting hands, this deck is actually pretty damn consistent and has a LOT of baits for Ash-Blossom/Called By the Grave. All in all, not a horrid deck but not tier 0 or anything.
A quick rundown of complicated cards;
Despia, Theatre of the Branded is there for a slight protection should any of your big boss fusion monsters be destroyed in any way. Also, an easy way to quickly fusion summon most of your boss monsters should you have a brick of a hand
Dark Pheonix Enforcer is honestly there for the Blue-Eyes Jet Dragon, because the two cards combo ridiculously well
Sage with Eyes of Blue is there in case any of your monster cards are negated or Ash Blossomed, Sage can quickly change them out for a 3000 atk beatstick, which is much better than a dead combo card most of the time.
Again, if you think there are ways that this deck could be significantly improved you're probably right. I am just messin around and trying out something new for me. I usually stay away from meta archetypes (you can look at my other decks for proof of that), but the Branded and Despia archetypes just seem like a good bit of fun, especially since I love fusion monsters more than any other extra deck monsters.