i think that if the AA gun was used in combat,
i.e. if the attacker used aircraft, that would be a definite no non combat move, however, if the the AA gun can be moved ( which i doubt ) it would have to be when there are no aircraft with the attacking force,
because the AA gun is not controlled at the start of the attackers combat move, the AA gun is not moveable by the attacking player that captured the territory
