The speaker of the house of representatives and the president pro tem of the senate shall call a joint session of the house of representatives and the senate for the purpose of electing a governor and a lieutenant governor if:
(1) the governor-elect and the lieutenant governor-elect die or are permanently incapacitated to take their oaths of office at the time the legislature canvasses the election returns for governor and lieutenant governor; and
(2) the legislature finds that the governor-elect and the lieutenant governor-elect are not able to take the oath of office and to fulfill the duties of office.