Inspector said AC was working when it didn’t
I purchased a home back in Jan 2026 which had a new HVAC unit installed. The inspector said both the heating and cooling for the HVAC was inspected and worked, and provided videos of heated air coming out of the vents as evidence of the inspection. He did not provide videos of cool air coming out of the vents. We’ve had no issues with the heating, but the AC has never worked (we didn’t have to try it until months after moving in). We finally called out an HVAC tech and he found that the wiring for the cooling was not connected to the thermostat. This wire is screwed into the thermostat unit so it’s not possible that this just fell off over time so clearly either the inspector missed this and lied about testing the AC or disconnected the wiring himself accidentally (though not sure why he’d be messing around with the wiring). Do we have any recourse to get reimbursed for the HVAC tech fees ($170) or is this not worth our time?