The Brisk Air brand of air conditioners is "relatively sensitive" to voltage drops. Anything under about 105 VAC will cause the compressor to overheat. I am almost convinced that's what caused our A/C failure a couple of years ago, but I can't "prove it".... You might benefit from a simple AC voltmeter like this one. They are available at CW and almost every RV service store.
Also, remember that your Dometic digital thermostat (I think that's what you have installed in your Bullet) changes the A/C fan speed during operation. If you've got the thermostat set to "HIGH" or to "LOW" the fan will run continuously. If you have the thermostat set to "AUTO", the fan will run on "HIGH" speed until the temperature is within 4 degrees of the thermostat setting, then the fan will stop (compressor still running) and switch to the "LOW" setting. Once the thermostat setting is reached, the compressor will stop but the fan will continue to run for about 30 seconds to 60 seconds (to push the remaining cold air out of the ductwork).
This two speed operation will also "revert to high" if, while on low, the thermostat temperature rises above 4 degrees of the setting. So, it's possible to be in a "very warm environment" where on "HIGH" the A/C is lowering the temperature, then, when it's down close to the thermostat setting, the fan switches to "LOW" and the A/C can't keep up, so as the temp rises, once it hits that 4 degree mark, the fan stops momentarily, switches back to "HIGH" and the temp starts to drop again. That cycling is normal, and the A/C:thermostat" relationship is just "doing its thing" so to speak.....
The next time you encounter this, if the voltage is higher than 110 VAC (so you know it's not the campground voltage) then listen to see if you can hear the compressor still running while the fan does its "momentary stop"..... If so, nothing's wrong, that's the way it's supposed to work.
Here's a link and picture of the voltage meter I have plugged into the trailer in a "spare, easily visible" socket...
https://www.amazon.com/Prime-Product...+in+volt+meter