No, the v3 works alone.
Wyze Cam v3 is a wired camera that connects to your WiFi network directly, similar to almost all Wyze devices, including the Wyze Cam v2 and Pan. You do not need a base station to use it.
Wyze Base Station only supports Wyze Cam Outdoor, which relies to the base station for connectivity. The base station is not compatible with the v3 at all.