This is so crazy. Just out of curiosity, is there a list of places around the world which are claim-able yet still unclaimed?
https://en.wikipedia.org/wiki/Terra_nullius
There are some other articles out there describing these areas, but I can't recall where to find them.
Even for desert standards, Bir Tawil is desolate, and it has no decent natural resources, so literally noone wants it.
Of course, if you got efficient enough, you could simply buy water to be airdropped into a catch pond. Then you drain the pond and pipe the water into your recycling system. It would likely be cheaper than trying to dehumidify desert air.