13-16-504. Tie vote in election for state executive officers. If there is a tie vote for governor and lieutenant governor, secretary of state, attorney general, state auditor, clerk of the supreme court, superintendent of public instruction, or any other state executive officer, the secretary of state shall transmit a certified copy of the statement to the legislature showing the votes cast for the two or more candidates having an equal and the highest number of votes. The legislature, at its next regular session, shall elect one of these candidates to fill the office by joint ballot of the two houses.