If the Illinois Department determines, more than 120 days after a person becomes an institutionalized person, that (i) the institutionalized person, the institutionalized person’s spouse, or any other person is required under this Code to reimburse the Illinois Department for any part of the amount of medical assistance provided under this Article to or on behalf of the institutionalized person or (ii) the institutionalized person’s estate is liable for any amount of medical assistance provided to or on behalf of the institutionalized person, the Illinois Department shall not make any claim for payment of that amount on demand, but rather shall establish, in cooperation with the institutionalized person (and that person’s spouse or primary caretaker, if applicable), a schedule for payment of the amount owed to the Illinois Department.