You can also check the firware updates to check if your airpods are real or fake. The current firmware update came out 2 days ago, and it is 5E133. About firmware updates for AirPods - Apple Support (IE)
You can also go to the identification area of Apple Support and check the serial numbers on each individual airpod verses the airpod case. About firmware updates for AirPods - Apple Support (IE)
I've been there too. I accidently bought a pair of fake Airpods 3rd Gen, and they do everything regular airpods did but they had a firmware update that was from months and months ago. (4E71) Might be a good way to spot if your airpods are fake or not. I hope this helped. 👍🏼