A/C not working on high

I have a Nissan Pathfinder 2001 and it only works on settings 1 - 3 . When put on high the compressor turns off and no cool air . Even when turn on , the air is not cool enough. It’s pretty hot in Arizona but it should cool off nice but it doesn’t . Took it for a check up and it needs just a bit of refrigerant and probably the AC control might need to be replaced. But they weren’t sure about it. Thanks for the help.

Try another shop. Cross that shop’s phone number off your call list.