If the claimant lived in a homestead that was subject to taxation under ch. 70 for any part of the year to which the claim relates, the property taxes accrued or rent constituting property taxes accrued or both on that homestead shall be allowed for that part of the year.

In addition to property taxes accrued or rent constituting property taxes accrued under subd. 1., if the claimant moves from a homestead owned by the claimant to housing that is exempt from taxation under ch. 70, other than housing for which payments in lieu of taxes are made under s. 66.1201 (22) and other than a correctional or detention facility, a claim may be allowed based on property taxes accrued on that former homestead for the length of time, up to the first 12 months, that the claimant resides in the tax-exempt housing and owns the former homestead, if the claimant has attempted to sell the former homestead but has not rented it out or leased it out.