I had the same problem. And removing center wheel caps with a screewdriver. Crazy. Now I also remove them myself befor going to mechanic.If I may.
It might be just on my 16" SE wheels, but the alloy caps only fit and sit properly, if the cap's ejector hole is facing exactly the valve on the wheel. So this way on mine, they'd wouldn't sit or something would break.
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Literally all of my caps are partly broken, due the mechanics not listening.
I'll remove the caps now everytime I gotta go to any garages, also check their work afterwards, but that's rather necessary nowadays.
Last year when I had similar encounter I did this video: