Mortgagee is the entity that gives the loan, not the one receiving it. The mortgagee holds the title of the property as collateral.
Pro Tip 2/3
Property Rights
The mortgagee has legal rights over the property until the debt is fully paid. If the borrower fails to repay, the mortgagee can claim the property.
Pro Tip 3/3
Not Ownership
Being a mortgagee doesn't mean owning the property, but having a security interest in it. As mortgagee, the bank does not own your home, but has rights to it as security.