I am imagining the aircraft carrier isn't there to directly engage Hamas. But instead to send a message to other enemies in the area to not exploit the current situation as the U.S. would support Israel should things escalate.
Same idea .. think about it .. 1) who would do some activity on the water .. like trying to get in arms or supplies ?? as in the previous analogy .. this is a very small patch of Sea .. in a very small patch in general .. and one in which Israel is in complete control .. so if you are going to send something in .. it will have to be "BIG"
2) who is capable of "BIG" ?? Iran is about the only one in the region with any realistic capability or desire.. and don't see that happening .. that would be direct war with Israel .. and anything they sent would just get Crushed .. Israel is a missile and drone powerhouse .. unfortunate we did not get to see some of their stuff operating in the Ukraine Theatre .. China would be another interesting one .. but I digress.
highly unlikely Iran would attempt such a thing ... who else ? no one .. and on the off 100-1 odds chance and some nation gets a force together for one run .. Israel doesn't need a US Carrier Group to crush it .. .. F35s will take off from one of the numerous runways in Israel.. boom boom boom what ever is coming by land or sea .. to aid the poor Gazans .. who are about to be massacred.