Hey if it`s an outdoor unit it should be apiece of cake to feed a #10 if needed.I would if it were me run the circuit and ask for the GC to foot the bill for the wire.If not you rest assured you have a better installation.I`ve personally done the exact same.I didn`t have 10 and ran 12 about a year later I was back running #10.A/c man insisted to the home owner 12 was to small and was the cause of the units problems.A while back I made a comment on a similar install about voltage drop on start up and the lights dimming and rescapt stated this was incorrect if you read this could you explain where it was the wrong conclusion.And the voltage drop wasn`t the cause of dimming lights,I did a search and didn`t find it..Thanks