Deep is the sticky bit. You can only do Deep past Adventure Diver (or AOW). I believe this is the Adventure required sense JackD342 means, for doing full specialties before AOW.
It seems you have two options:
* A: 4 specialties w/ Nav, AOW consisting of Think plus Deep dive 1. Then do Deep dives 2-4.
* B: 4 specialties w/ Nav, Adventure for its Think module, Deep. Then AOW of just paperwork?
Route A seems a bit less silly. But B could be a nice exercise in testing your shop.
"If you’ve earned the PADI Adventure Diver rating or higher, and you’re at least 15 years old, you can enroll in the Deep Diver course" -
Deep Diver | PADI