(b.1) continue to act, perform acts or make decisions on behalf of a deceased person for whom the Public Trustee had authority to act or make decisions under the Infirm Persons Act, from the person’s death until letters probate of the will or letters of administration of the deceased person’s estate are granted to the Public Trustee or to another person and notice of this is given to the Public Trustee, and in so doing may exercise all the powers that an executor would have in respect of the management of the deceased person’s estate if the property were devised or bequeathed to the executor in trust for payment of debts and distribution of the residue,