Dollars to Donuts it's a Dometic....
This is whats happening and believe it or not, it's normal if not annoying as all get out.
When the AC thermostat gets close to its set point with the fan set to AUTO, it will change from HIGH speed fan to LOW speed fan.
The issue is that it doesn't have a MEDIUM speed, so rather than transition smoothly to the next lower speed, it has a large gap where the compressor continues to run but the blower shuts off for 3-4 seconds and restarts in the new fan speed.
When the thermostat sees the temperature changing due to heat gain, it reverses the process going back to HIGH speed with the same gap in change.
If you are right at the set point, it could trigger a cycle back and forth as it rides the border.
The only way to avoid this behavior is to set the thermostat to either HiGH or LOW constant fan. I would not recommend LOW fan in humid conditions as it could allow the evaporator to freeze.
How this helps your issue.
BTW: Let us know if you don't know how to change the fan setting.