Folks, you don't have to try to guess if your carrier has released an update yet. Just look on your carrier's website, or at the full list at sammobile.com.I have the S22U unlocked on VZW and no joy yet. I even tried removing my sim and trying to get the update on wiFi but nothing yet.
Verizon has not yet released BVJA (Android 13) for the unlocked S22s. You can either wait until they do, or else download BVJA yourself via Frija and install it via Odin.