It would also have a massive radar signature (very hard to mask) and would be way easier to destroy than a sea-based carrier.
It would be easy to locate.
Given enough $$$ it would not be easier to take out than a current carrier.
It is possible to build such a thing, whether it is a wise decision is another thing.
I think large aircraft that can loiter for long periods over a target area and loaded with thousands of small drones is a better way to go...there is no current way to deal with thousands of armed drones trying to take out your military assets.
The entire Russian and Chinese supply of anti-aircraft/missile systems could not hope to cope with thousands of fast armed drones.