Just like in previous incarnations of the game, firing a rocket from an AA Gun counts as a combat move and thus, the AA Gun would not be allowed to move during Non-Combat.
But you may move the AA gun and fire it during the Combat Move step. Right?
So, for example, Germay builds an IC in France, then Russia unlocks Rockets on its first turn. Russia may, during its Combat Move Step
, Move the AA gun from Russia to Eastern Ukraine and fire at Germany, use the Caucaus AA gun to fire at Italy, and use the Karelia AA gun to fire at France.