My '19 Dometic Ac will run if fan speed is set on high, but if set on auto, it won't cycle, & If it's set on high, it sounds like only the fan running and the compressor isn't kicking on.

SOURCE: duo-therm by dometic ac rv unit

I suspect that you have a bad selector switch for the on, off, low fan, high fan operation. If the selector switch is put into the off position everything should stop completely.

SOURCE: Fan doesn't run on kenmore 5230 dehumidifier

sounds like the fan motor is bad most are not repairable new ones about 50$ dan

SOURCE: During low voltage period window AC compressor shudders and kicks off, but fan runs, when voltage returns normal compressor runs.

low voltage issues causes higher amp draw and equipment to run a lot harder. whats causing the low voltage problem to the equipment? high amp draw of the compressor could be causing it to overheat and trip until the compressor physically cools down.

SOURCE: RV air conditioner. Compressor running, fan stops before cool

The fan motor is getting hot and going off on the internal overload in the motor.
This is caused by either a low voltage, a bad capacitor, or tight or dry bearings in the motor.
To check the bearings turn the power off to the unit, then spin the fan blade if it spins freely then the bearings are ok.
To check the capacitor you will need some kind of tester or you can buy a capacitor and replace it, that's what a lot of people do. They usually don't cost very much.
To check the voltage you will need a voltmeter and measure the volts at the unit.

SOURCE: compressor on my RV coleman ac unit bogging down

Take a look at your start capacitor. This the capacitor that kicks the compressor over when it tries to start. If the capacitor is bad, it cannot kick the compressor back over after the first cycle because the head pressure has not evened out yet. It is located in the upper unit on the side panel in a small box. Be careful, highly charged capacitors can zap you if you are not careful. Disconnect power and touch across the terminals with a meter or a screwdriver to discharge the capacitor.

Hope this helps,

Jeff