Free throws with 4th quarter time expired

[genetoy71]

NFHS, Ohio. Team A down by 2, with the ball and fouled while shooting a short jump shot. Whistle for the foul did beat the buzzer by a fraction of a second but the buzzer sounded and the clock displayed all "0's". Shooter from Team A went to the line with the lane cleared. Made the first. Team B called timeout. Team A missed the second.

If the Team A free throw shooter would have missed the first of two, would you shoot the second? I have looked through the 2019/20 case book and didn't see this addressed. I have asked fellow officials and received a variety of answers from "No you wouldn't shoot it" to "I would ask Team A coach if he wanted to shoot it" to "Yes, you have to shoot it".