Try using the official Apple Support App and chatting w them. They should send you a replacement airpod pro the same way you got a cable. They will just place a hold on your card for the amount of the replacement part until you return the defective one. They ship with a pre-filled return label - at least in the US
Nope, chatting didn't help for me, it only added to the time wasting. I had the same AirPod Pro problem and started with chat Not only did they not solve it via chat (despite detailed troubleshooting notes I provided), they wasted a lot of time asking me to try things that clearly had nothing to do w/ the problem. After a long time of this, they said I'd have to call. Even with a case number, I basically started from scratch on the phone, took about 1hr. After all that, they did finally send me one replacement (right side only). It fixed the problem, though I will say that now they perpetually unbalanced in terms of ear pressure.