Being nuclear-powered, it doesn’t need to carry oil for its boilers. That leaves a LOT of room for carrying aviation fuel and crew food. Besides, as they use up crew provisions, they can open additional lanes in the bowling alley. :=)
Just conducting routine 12 hr/day flight ops will use up the JP-5 in less than a week.
I was on an aircraft carrier and I never could find the bowling alley everyone talked about.