Hi,
That could be a couple of things. Since the system starts working again, it doesn't sound like a fuse.
There is an evaporator temperature sensor. The evaporator temperature sensor is located on the evaporator housing. If the temperature at the evaporator gets too cold, the evaporator temperature sensor sends a signal to the climate control unit to turn off the A/C compressor clutch. This prevents condensation from freezing on the evaporator fins and blocking air delivery into the passenger compartment. This could be happening.
Tell me, when you run the A/C, do you keep it on recirculate or do you change it to fresh air once the vehicle is cooled off?
There is also a compressor clutch relay that could be failing. This relay is located in the underhood fuse box. I attached a pic below indicating which relay to check. If there is another relay with the same part number, switch them. If there isn't, here is a link that explains how to test a relay:
https://www.2carpros.com/articles/how-to-check-an-electrical-relay-and-wiring-control-circuit
The next time you use the A/C, make sure to keep it off the max cool setting and make sure it is getting fresh air and not recirculated air. See if that makes a difference. In the recirculate position, the evaporator has more of a chance to freeze up and the sensor to shut things down until it warms up.
Let me know what you find or if you have other questions.
Take care,
Joe
See pic below.
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Friday, July 30th, 2021 AT 9:13 PM