State-controlled property companies, or property companies that used to be private enterprises and were later acquired by state-owned enterprises, are legal public enterprises and institutions?

1.？ Whether the state-owned property company belongs to legal public enterprises and institutions.

2.？ Is the property company that used to be a private enterprise and was later acquired by state-owned enterprises also a legal public enterprise or institution?

This problem involves the definition of the ownership and nature of property companies.