I hate to break the news but there was little chance that Graf Zepplin could ever operate aircraft. She was the first ever carrier designed by the Germans and suffered accordingly. She would have gone to sea with a permament 15 degree list, making it more or less impossible to operate aircraft. The Germans also lacked everything to do with carriers, doctrine, experienced pilots, experienced captains. Basically she would have had no chance. Surely she would have been bombed whilst still in port anyway? They can't build her in Gdansk in 1940.
The 12 Me109T carried by Graf wouldn't stand up well against the 100+ Fulmars and Skuas of the RN home fleet.