@RumorConsumer as long as inside the hut doesn't go over or under the operating temperature and humidity ranges then you should be fine. I'm installing an AP in a log cabin in the garden but I'm insulating it first so it doesn't get too hot or too cold and the humidity is more like a normal building.
If you don't or haven't insulated the roof in particular, I'd put a sensor in there, even in the UK, without insulation the cabin in my garden went over 36C(97F) in the summer, insulation just of the roof dropped that to mid 20s (75F).
The MR52 maximum supported environment operating temperature is 40C(104F)...!
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