Sometimes textiles pass, sometimes they don't.
If I was looking to carry AK mags I'd find a Chicom vest. I wouldn't bother with a dump pouch with that rig either, I'd just leave the top of my shirt or jacket open and tuck the empty mags in there.
There's a couple nice rigs in the ASCmart there and if you spend some time picking through the classifieds to find a used one you might find a bargin.
Airsoft, where nothing is hurt but feelings.