The answer to 'inspection blowing cold air' is that there are several common causes, including a refrigerant leak, a problem with the compressor or fan, or an issue with the thermostat or control system. Symptoms may include the system blowing cold air during an inspection but not cooling the home effectively, or the system cycling on and off frequently.
In many cases, the solution may involve repairing a refrigerant leak, replacing a faulty compressor or fan motor, or recalibrating the thermostat. However, these types of repairs often require the expertise of a professional HVAC technician, as they involve working with refrigerants and electrical components. Attempting DIY repairs on an HVAC system can be dangerous and may even void the warranty, so it's generally best to call in a pro unless the issue is something simple like a dirty air filter.