I would not run grid power to it.
If out there on some seriously hot and muggy nights a window ac unit and a generator would cool things off and then I would shut it down during the night.
Friend lives with the girlfriend at the front of a road and house is on city water and grid power. Long trail through woods and on gravel road gets you back to his cabin that has no city water and no grid power, they don't go back that far or we would probably at least have running water.
Spring, fall, and winter are great at the cabin. The summer nights can vary. Since we usually try to work on projects I do better working in cooler weather anyway.
His cabin is in the woods and has enough windows we can get decent airflow so some summer nights it is not bad but sometimes it is just so muggy and hot I can't stand it.
And having the pond to hop in would be nice, but to me I could see going home to the real house on those nights.
But I do have a window ac unit and I got one of the tractor supply generators in that other thread and it should run the ac without issue so I would use that to cool things off if the rule is no going home to the real house.
Depending on project generators are brought out anyway due to no grid power back there.
Depends on how you plan to deal with things.
One fella does not care how hot it gets, he tends to always be cold and prefers summer to winter.
I prefer winter since a woodstove keeps the cabin warm and I can layer up easily.