If you have a model number for your machine, we can look (further) into it.
If you don’t have the model, then specs off the motor and pressure switch should do. Readable images of those would work.
I have to say, the people at HD don’t seem to know squat about their air compressors.
Also, the switch you’re using is probably adequate to the task, but maybe not.
Anyway – because of that, I need to ask a few more questions:
At what pressure has it been cutting out? In? Max working pressure of the vessel (tank)? Is there a writing somewhere giving those intended pressures?
There should be a tag on the motor – is it 120/240V or 230 or 240V ? FLA? HP rating?
Have or can you check the voltage at the pressure switch with the motor running?
Have you ever checked the pulley alignment and tension?
I know that sounds like a lot, but we want to try to figure out the root cause, you understand…