What doorbell and Wyze app version are you using? Selecting a compatible camera to be used as a doorbell chime is a function of the doorbell, not the camera. Although I don’t currently have it connected (so I haven’t personally tested this), if I navigate from my Video Doorbell v2’s Live Stream screen to Settings ➜ Chime ➜ Cameras as Chime ➜ , then I see Cam Pan v4 on the Select cameras screen. That indicates to me that Cam Pan v4 has that feature built into the firmware and can be used as a chime if it’s selected. You just have to go to the right place in the app to configure it.
Your Google Home issue may be a consequence of your iOS use, as noted in several Forum topics, including this one:
The most recent post there (at the time of this writing) suggests that re-linking with an Android device resolved part of the issue, though iOS users have apparently been unable to stream Wyze Cams within the Google Home app for a long time. I don’t know if trying it with an Android device (if you even have that available) would improve your experience or not, and I don’t know which Hub you have, but a few minutes ago I was able to stream Cam Pan v4 on a Google Home Hub (1st Gen) after adding the camera to the home within the app. My attempts to view that Cam on a Google TV and within the Google Home Android app have failed so far, so I think there’s definitely some work to be done on this integration.