HS "T" after end of period

[Bart Tyson]

A HS, "what if" question. End of 3rd quarter, before 4th quarter starts. We have a dead ball foul, i don't think it matters the kind of foul, it still results the same, I THINK. Because it is a dead ball foul we have a T = 2shots and the ball oob. Now, since it is the end of period, do we end the period and start the 4th quarter with the foul shots and give the ball to the team that was fouled? Or do we extend the 3rd period by shooting the foul shots and start the 4th period with the AP arrow?