I have a Baikal target pistol that does what you described, but only with one of the magazines.
Funny how i mentioned this the other day about cleaning and lubing the clip and drew a laugh or two but they can get build up and cause it to stick and not feed.
It happened to me on a Glock 17
I Changed the clip and set it aside.
When i got home i saw a lot of buildup residue corroding the walls and the spring so i cleaned it with Hornady one shot cleaner and dry lube with the spring depressed using a clean shop rag and reloaded it.
Hand emptied it and reloaded and set aside. I ran a few hundred through it later and no more problem.