That brings up a fascinating digression:

Remember the Wrights proved they could fly in freezing cold weather at sea level on the Outer Banks —- that’s near zero humidity, not a lot of water molecules in the air.

Then they packed up, moved it all to Ohio, and tried again the following summer, in hot humid weather, at 1000 feet above sea level, and couldn’t get their aircraft off the ground.

https://www.aopa.org/news-and-media/all-news/2016/september/08/density-altitude

If you want more, this is splendid reading:
https://trace.tennessee.edu/cgi/viewcontent.cgi?referer=&httpsredir=1&article=3735&context=utk_gradthes