I believe you can hardwire the 2nd Gen Google Nest Doorbell to your doorbell wires connected to your doorbell transformer and turn off the "Indoor chime" option and turn on the "Visitor announcements" option to get visitor announcements on your Nest Minis, Nest Hubs, and Nest speakers.
(We're doing that with our older Nest Hello doorbells because the internal battery on all three has failed, causing them to go offline if they attempt to ring the indoor chime.)
Sorry to hear you're experiencing this, as I can imagine it has been an inconvenience. I would love to look into this further for you. You can learn how to install the doorbell here. You should be using the equipment that comes with the doorbell, which would include the Chime Puck. The link I sent has additional troubleshooting you can look through. Please let me know if you need further assistance.
If there is a diagram to share, we will share it here. At this time, there isn't such a diagram that is available to us in the forums. You are welcome to reach out to support to see if this is something they are able to provide.
Thanks for your patience. We appreciate your efforts here. Let’s sort this out — a few questions: what’s the status light of your doorbell? How far is the doorbell from the router? Is it fully charged or plugged into the wall outlet? Also, were there any changes to your WiFi network?
Going over the steps here might help:
Let me know how it goes.