I don't see Touch ID after macOS Ventura 13.6 update

In addition to @dialabrain's suggestion, as info, I too updated to 13.6 and TouchID is working properly. Did you try typing touchid into the top search window in System Settings? Sometimes that helps navigate to the setting your after.

Try booting into Safe Mode then restart normally. Sometimes that will fix anomalies.

Use safe mode on your Mac - Apple Support

Plug the keyboard into the Mac, then cycle the power switch on the keyboard