Google Nest's online documentation doesn't seem to say, but the customer on this thread says "Visitor announcements" work on their Nest Mesh WiFi speaker:
just received the battery doorbell and set it up. Tested and all three Google nest Wi-Fi points announce when the bell is pressed. I also have a nest speaker and a nest mini. The speaker announces, the mini is in the garage and there’s no one here to help me with that test yet.
just need to change the announcement, wording isn’t quite what I want it to be, but that should be easy.
@Dohageorge how's it going with your Nest doorbell? Just wanted to clarify, what do you mean about changing the wording announcement settings?
Keep us posted.
Thanks for answering, Brad.