Nest intergration

I have a nest doorbell (wired) and now I can switch the bell function on/off via the nest app. now I would also like to do this in HA, so that I can turn it on/off in an automations. as it looks now is that not possible? or is there any other way than through the core integration

This is not a feature exposed by the nest SDM API: Doorbell  |  Device Access  |  Google Developers – if they add it, we can support it!

obviously, is there some way to submit that request to google? Or is that a closed chapter?

This seems like a niche feature to me so unlikely they’d add it. I would say Google “nest sdm API” and look through the docs and see if they have support links or feature request process, but I think I see one.