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Hi I'm Brian and I'm here to help!
The most like reason for that is the compressor (not whole unit, fan would still run) is getting hot and cutting out on it's thermal overload. This could be caused by low refrigerant, dirty outdoor coil or a few rare very technical problems in the refrigerant circuit. I would try using some Simple Green and a garden hose to clean the outdoor coil first. See how that works and let me know.