Should I mine in summer if I run air conditioning?

Probably not at full tilt. Every watt your rig uses becomes heat, and in an air-conditioned home your AC then has to spend extra energy removing that heat. In effect you pay for the mining electricity once at the wall and a second time to cool the room, which can roughly double the true energy cost of summer mining. Many home miners reduce hours, run only cooler overnight periods, or shut down entirely during the hottest months, then ramp back up in autumn when the waste heat becomes a welcome offset to heating. If you do mine through summer, position the rig in the coolest room, keep airflow clear, and consider undervolting to cut the heat load.