Only the first AirPods Pro I put in my ear works I bought my AirPods 2 months ago and since 2 days they started being weird. Only the AirPod that I put in my ear first works but when I put the other one in it keeps on lagging and bugging and still plays over one AirPod
I had the exact same issue with my right AirPod and I bought them about 2 months ago also!!!  I think there may have been a bad batch of AirPods Pro.  I called apple and they sent me a new right AirPod and they work perfectly now.  I suggest doing the same thing.
Also, when you get the replacement, I had to unpair, then reset the AirPods a couple times before it would connect to the new one.