You are correct.
NFHS 4-36-1 Point of Interruption - Method of resuming play due to an official's accidental whistle, an interrupted game, as in 5-4-3, a correctable error, as in 2-10-6, a double personal, double technical or simultaneous foul, as in 4-19-8 and 4-19-10."
Unless, of course, your state association is also saying to ignore the POI rule and go with the AP because that's what they want you to do dangit and why do you always have to argue and make this so difficult?