But those making the assumption that the carrier will contribute to a final bombing campaign to retake East Aleppo, are likely to be disappointed. The carrier's air complement is only about half that of the USS Dwight D. Eisenhower, also on station off Syria, and its Su-33s are air superiority fighters, of no use for bombing. It's MiG-29s are multi-role, but mainly intended for combat air patrol.
The Kuznetzov and its accompanying cruiser Peter the Great may merely be showing the flag, but the frigate Admiral Grigorovich, which exited the Black Sea quietly while the Kuznetzov battle group was getting all the attention. Only commissioned in March, Admiral Grigorovich is the lead ship of a new class of heavy cruise-missile frigates.
Cruise missiles of course avoid risk to Russian (or Syrian) pilots, but can deliver considerable destruction on the ground