Are track shoes (cleats) authorized for APFT?

SSG (Join to see), I personally like running on the track. There isn't a turn around point where you have to slow down and you can keep track of your split times and know exactly where you are on the run. I think everyone has provided the regs here, so I won't go there. I wore long distance spikes in high school and college. They help, but only if you are already running at a pace that is...extreme. If you're not sub-11:00, I wouldn't concern myself with it. There are different kinds of spikes for distance and sprinting. If you go to a specialty store to buy them, you will see the difference. Sprinting spikes have no heel to them and distance spikes do. That being said, all the spikes on the distance shoes are still from the ball of the foot forward, which means that you should be running on the balls of your feet for 2 miles. Again, this gets into the precision running and sub-11:00 2-mile discussion. If you can't run on the balls of your feet for two miles, they aren't going to help all that much. They might actually do the opposite. The concept is that if you run on the balls of your feet and toes that you are propelling yourself forward with each stride. If you are "heel-to-toe" running like most untrained folks do, then when your spikes hit the track, they will bite and slow the roll of the foot...doing the opposite of what you are trying to achieve. Spikes are for those that need to shave fractions of a second from their times.

Track athletes wear spikes for sprints, I am not aware of any 3200m specialist wearing them. They wear racing flats which are completely IAW AR 670-1 and FM 7.22.2

I do not know, but I imagine they aren’t since it gives you a bit of an advantage because of the traction. I see many answers saying spikes are only used for sprints. But as a track athlete, I can say that is untrue. I had a pair of Mid-Distance spikes that I also used for my cross country season. I also ran the 2 mile, 1 mile, and the 4 X 800 relay as third leg in track. All with a pair of spikes. Now, some points I see are true. You should train in them before running a race or a split in them and afterwards you can’t walk around in them or your feet are going to be super sore.
Running is 99 percent mentality and 1 percent physicality. It is a mental sport. A tip I can give you as a track athlete is that if the 8 laps are killing you, think of something to motivate you or even think of a song to pump you up.
However, I digress. Spikes, to my understanding, would not be allowed for an APFT. You’re going to have to just use running shoes, SSG (Join to see).