Hello, and welcome!
Perdix AI is great, it will serve you well for years to come.
As for regulators, MK25 is great, if you have it keep it, while if you still have to buy something, consider what have been said about the extra care you need for that kind of regulators. As for second stage, consider the scubapro G260: mixing brands normally no issues, but you may have problems servicing them.
As for BCD, glad you are considering backplate and wing setup.
As for backplate, any standard aluminium or steel backplate is totally fine as long as you make sure they are interchangeable with different wings: halcyon infinity, mares, apeks, OMS and others respect the standard measuring so they are fine. If you wanna go fancy and custom, take a look at the customed wing from halcyon.
As for XDEEP, Im not totally sure they have standard measuring so I can't tell. I would probably go for a less fancy BP as the above ones.
As for steel or aluminium, it all depends on kinds of diving you'll be doing (single or double, rec, TEC, etc) and the rest of your equipment (neoprene, trilam drysuit).
As for the wing, one with proper lifting based on your setup: single (around 30lbs should be fine if steel BP, less if you go for aluminium) or double (40lbs should be ok).
However, if you plan to do proper dive master tasks, you'll probably be using a lot a jacket BCD, so in that case you should re-consider the above.