Hi,
It sounds like the A/C is working. What I suspect is the blend air door isn't working properly. The blend door is what is responsible for the air temperature entering the vehicle. I would suggest removing it and seeing if it responds when the temperature is changed from hot to cold and back again. If you find it is bad, here is a link that shows in general how one is replaced:
https://www.2carpros.com/articles/replace-blend-door-motor
On your vehicle, it is referred to as a temperature valve actuator. Now, there is a difference between automatic climate control and manual climate control. I am going to provide the directions below for replacing the actuator for a manual system. If you have an automatic system, let me know.
The last pic is the recalibration procedure.
Let me know if this helps or if you have other questions.
Take care,
Joe
See pics below.
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Wednesday, August 25th, 2021 AT 8:32 PM