Why should that be owned by a private entity though? What right do they have for that? I wouldn’t mind it being run by a public (international) organization, for public good, but that’s very different.
This is my question regarding the morality of that.
> outer space shall be free for exploration and use by all States;
Any state can use space as they like.
Also:
> States shall be responsible for national space activities whether carried out by governmental or non-governmental entities;
The US government says it's okay so it's okay.