You seem to be erroneously concluding that I'm opposed to the concept of property rights.

Yes. That's exactly what would be just, among other things.

Then you can make it happen. Go, produce something valuable, make billions and spend it all on free shelter for everyone.

You can't be free from work.

Of course you can't (although I do believe we can and should be free from unwanted, unpleasant labour). But hey, you asked a value based question and got a value based answer. ;)