Moon Treaty:
This treaty not only disallows sovereign claims over the Moon, but also explicitly excludes any property rights – whether by Governments or private individuals – to any part of the surface, subsurface or natural resources of the Moon. No-one, according to the Moon Treaty, can own the Moon or any part of it. However, unlike the Outer Space Treaty, the Moon Treaty does not enjoy widespread support. It has only 18 parties, and neither the US nor China have signed up.
So, I'd guess that's a fairly empty treaty in regards to mining rights, Luna bases etc.
https://www.lowyinstitute.org/the-in...im-sovereignty