Just to jump in on this as I want to offer what I suspect the issue is or at least the way to find the solution.
I see you checked the pressure when you filled it, but we need to monitor the pressure when this is operating and then when it cuts off.
If the pressure is going high or low, or if the compressor just shuts off, we will know what the issue is.
If the pressure goes high, then we know the compressor is building too much pressure.
If it doesn't and just shuts off points directly to a compressor or clutch as you suspect.
https://www.2carpros.com/articles/re-charge-an-air-conditioner-system
I am attaching a chart below that will help with this but let us know what happens with the pressures when this is happening and that will tell us what is going on. Thanks
Image (Click to make bigger)
Saturday, May 28th, 2022 AT 2:27 PM