Dogmatika Fleurdelis > Punishment > Send Granguignol > Summon Ecclesia > Search Dogmatikamatrix
This basic combo is a turn 0 play that can make access to Alba Zoa if your opponent plays into Fleurdelis. It has a major chokepoint with Dogmatikamatrix, but the card is also a plus 4 trillion so it's epic and we play three copies. You could probably cut it down to one copy for more room for non-engine, but we'll discuss the points a little later.
If you hard open matrix or ecclesia, you can pivot to Despian Quaeritis or Despian Proskenion who I don't have in the list as an OTK machine.
The extra deck is also full of a bunch of fun-ofs because the dogmatika stuff locks you out of the extra deck for the turn. You can technically make extra deck plays with the regenesis cards before activating a dogmatikamatrix on your turn if you wanted to go into those cards, but I feel that the regenesis cards are powerful enough on their own that we don't really need a lot of the win more stuff in here.
I decided to pair this engine with the Regensis cards because we have plenty of points to spare and they are pretty good, but I'm not sure if they're the best main-engine you could be pairing with this sub-engine. They're pretty pricy so if we want to play the powerful punishment targets there isn't a ton of wiggle room for good non-engine.
It's also worth noting that we are playing graveyard hate with the knowledge that our opponent will likely decide to dump half of their extra in the yard instead of hand rip themselves for 4 or remove their end board.
Alba Zoa has a god awful matchup into Blitzclique because he's only a towers against Extra deck monsters, not spells, traps, or main deck monsters. To account for this we are playing everyone's favorite floodgate The Eye of Truth. Fun stuff.
I'm really happy I was finally able to put together a list that makes Alba Zoa and passes the sniff test of decent deck building. Thanks for reading this far and I hope y'all get something out of this list!