Sinking a carrier would pretty much take a nuke. In any event, sinking a carrier would unleash certain hell on Iran.
Sure, a carrier is a legit target. If Iran can take one out, they could…I guess. But any strategic thinker should always be asking, “Then what?” That exercise would not work out well for Iran.
the Germans got lucky and sank HMS Hood back in the day. The Iranians could get lucky.
Longstanding US policy is: The price of a CVN is nuclear war.