Exactly where do you get that private property is being taken for public use?
A person who chooses to use his or her "private" property for a "public" business is subject all sorts of legal restrictions, e.g., public safety requirements, public decency requirements, public access requirements, etc. In none of these cases is that person being deprived of his or her property. If he or she wishes not to comply with any of these legal requirements, then all that is necessary is for that individual to withdraw said property from a "public" business.