AirPods Pro 2 serial numbers are different in settings but same printed on airpods

I know each airpod is supposed to have a different serial number. My question is if these different serial numbers are supposed to be printed on each earbud or just visible in the settings. Each earbud of mine has the same serial code as the one on the charging case and box, but the settings shows me 3 different serial numbers: the one I see on the box+case+earbuds AND a different one for the left and different for the right airpods. Is that normal or are my airpods fake?