[X] 1: Science Labs
[X] 2: Diplomatic Facilities
[X] 3: Scientific Facilities
If this was a ship we were sending on five-year long solo missions, then I could get more behind the fabrication facilities, but a battleship implies being kept on a slightly shorter leash so that it can coordinate with other forces and stand ready to strike against the Federation's enemies. There's simply not a good reason for a ship this valuable and expensive to be used as a glorified construction ship.
If we could stick a few industrial replicators in the Cargo Bays - and I don't really understand we can't given the Endeavour-class did just that - then I might be willing to lose the Science Labs for them. But as things stand, losing Scientific Facilities when it's likely to add more than a letter grade's worth of scientific capability? It makes no sense given what this ship will be doing for most of its service life when it isn't killing our enemies.