nitrates arent even accepted as correct from those test kits, its why everyone's heading towards hanna digital for accuracy as best as possible. but if those nitrate readings are spot on, and Paul B's excellent sps reef runs 150 nitrate at times, yours is fine. that param has nothing to do with cycling either, your cycle is certainly done thanks tons for posting.
nitrate tuning is handy for invasion control in some cases and for tuning coral coloration, ability to detect some or not has zero impact to reef cycling whatsoever, we've completed a thousand cycles before on kits that showed zero nitrate at the end because we had them dose way under normal ammonia amounts, so they could avoid the final water change, by already having clean water. large ammonia proofing isn't needed either, though yours passes that too.
nitrite has no bearing in reefing, just because nitrite might be influencing your nitrate test kit also means nothing, and when nitrite is subsided that doesnt mean api nitrate became correct all of a sudden, use hanna digital if you want the best nitrate meter.
only ammonia control and duration underwater leading up to it matters in calling a cycle closed, nitrite and nitrate are no longer required factors in updated cycling science, so if those two params conflict in early reads we simply don't care, they're both unfactored levels. an aquarium that has simply had water in it for 30 days is cycled regardless of any testing whatsoever, when time is given to that degree we dont even have to proof the ammonia, the environment has unassisted cycled the tank free of charge.