In the is-it-private-or-is-it-public game, I agree that a home is a private good. The event which makes you a home owner is a closing, which in Minnesota, is usually held at a title company. On the chosen day the buyers and sellers sit down (pre-Covid) and the buyers sign up for a mortgage to finance the purchase while the sellers sign over a warranty deed. Done deal. No take-backs. The fees include a little state tax and filing fees so the documents are filed publically in the county recorders office.
The process almost seems trivial but it so powerful. This singing over of a title and its public recording in a government office is the most significant feature of private wealth in the US system.
Interestingly, there are a whole assortment of local norms and customs revolving around closings across the United States. Most states either close at the table or over an escrow period. In Wyoming, however, real estate agents conduct the closings. Also specified and unique to almost every state is a foreclosure process. Most weigh heavily on consumer protection. And here is an interesting table breaking down all the nit picky processes and fees.
Owning a home is a staple of the American dream. Owning a home ties you to a community where you participate in measure of all public venues: public safety, pubic schools, public transportation, parks trails and the environment, governance and civic pride.