Silly to have a nuclear powered CV. All the rest of the CVBG is conventional and has to refuel every 4 days. A reactor is an exotic way to make steam and the rector makes training and damage control exponentially expensive and dangerous. Leave the reactors to the bubble heads.
The main advantage of nuclear power on a carrier is space for aviation fuel. The nukes carry twice as much as a conventional carrier of the same size since they don’t have to haul fuel for their boilers.
I believe the Kennedy class carried 1.5 million gallons of jet fuel (and 2.5 million gallons of fuel for the boilers) whereas the Nimitz class holds 3.5 million gallons of jet fuel.