How do I fix a broken rotation piece?

My headphones broke but only the rotation piece broke off. They still work but if i want to use them i have to hold them up with one hand. If i glued it i dont think it would be able to rotate anymore so i dont want to try that yet.

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My headphones don't charge, but when plugged in, it blinks white, then no color and then red and it works fine with the AUX Cable. What could be the problem?

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