So I was chewed out by my Squadron Superintendent today...

I figured this would be a good place to see if anybody had any detailed knowledge on the subject. Like the title says, I was chewed out for "not owning a mandatory piece of a uniform" today by my Squadron Superintendent. The piece in question is the zip-up Air Force PT jacket. Myself and several others were given about six hours notice that we would be participating in an "NCO Run" on the post where we work (And I would like to add, I am not even an NCO) This is an Army base so we usually don't participate in a lot of their morale type events but early today we received notification that we were required to attend this run later in the afternoon.

The e-mail notifying us of this event specified that the AF personnel in attendance were to wear the PT shorts, PT Jacket, and a reflector belt. About one year ago, I ripped one of the sleeves of my PT jacket pretty badly but I never bothered to replace it because I also own a PT sweater (the grey one) that was purchased no more than two years ago and I use (and prefer) when it is cold enough to merit wearing it. Our section was absolutely slammed all day, the kind of day where I take 10 minutes to wolf down some food before returning to work, and at no point would I have had anywhere near enough time to go out and purchase a jacket just for this run. In my section, we are required to always have a set of PT gear in our locker, in the event that they call an unexpected mandatory PT session for that day so I do keep all the items that I could ever need on hand: running shoes/socks, a pair of AF PT shorts and pants, shirt, sweater, reflective belt, and watch cap.

When I showed up at the run, I was literally berated for "not owning a piece of a uniform" and now my supervisor was saying that the superintendent is pressuring him into giving me paperwork.

Please tell me that I'm not crazy for thinking there is in no way some kind of regulation that states owning the PT jacket is mandatory and that being tasked to show up to an event with the circumstances I described above is something I could get paperwork over? Anybody else ever been through anything like this?

TL;DR I have always used the grey AF PT sweater instead of the jacket for PT when it's cold outside because I no longer own the jacket and I got my ass chewed for it today. What reg. states it's mandatory to own the jacket?

Edit: So SilentD cleared it up and it appears I am in the wrong. It sucks to be wrong and looks like I'll be buying a damn PT jacket but I appreciate everyone's input.