We had a similar issue to this and went round and round. Replaced the AP. Moved it to other ports on the switch. Had the cable tested and was told repeatedly that it was good. I even bought a cable tester and tested the cable myself and the pinouts were good. But inevitably the AP would go down. Intermittently. Did and RMA and the new AP did the same thing. Finally I plugged the AP directly to the same port on the switch using a small patch cable in the rack and was able verify if it was the run going to the AP. I had the installer pull a new cable and the AP has been rock solid ever since. May not be your issue but POE stuff can be finicky. Could be a small nick in the cable or running over florescent lights. Lots of factors that are all worth considering.
Adam R MS | CISSP, CISM, VCP, MCITP, CCNP, ITILv3, CMNO
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