By 2006, that thing will have a small squadron of tactical nuke UCAVs with the battle group's name on it. It's big enough to target from low Earth orbit as well. (You can't tell me that those platforms aren't up there already.) Even if the US were to go back to fighting naval battles as we did in WWII (which is about the capability that the ChiComs will have), the learning curve for the ChiComs to actually use that ship with any proficiency will be many years. Indeed. It is the equivalent of handing a Vulcan to a gang-banger - it may be tough looking, but if you don't know how to shoot it it's no threat.
Tactical nukes? I don't think so, though if I were CINC-PacFlt, I'd have a couple of subs traling it. By 2006, the ChiComs will have enough nukes that are deliverable to the US to make a nuclear carrier strike politically unacceptable.
Given that its most-likely use is a single-shot weapon (much like the Soviet Navy doctrine), most aspects of carrier training won't necessarily need to be done. All that would really need to be done is takeoffs using the holdback bars and low-level overwater attacks. The remainder (navigation and firing the Granits) is merely a matter of scale.