IIRC, there are a couple of pizza-selling concessions in the Pentagon's commercial area - outer ring near the main entrance. But they are closed at night. Hence the call out orders to keep the planning and execution staffs carb levels up while ops go down on the other side of the world..
They have a subway sandwich shop in the pentagon..bet they have a pizza place too.
I can just imagine what the drive-by media would say if the Pentagon owned a lot of ovens.
After what they have been known to shell out for claw hammers, toilet seats, and coffee pots, I'm willing to let them outsource pizza...