I don’t use Google Home / Google Products but maybe this will give you an idea or if there is a solution for your devices to communicate in a similar way.
I use Homebridge which has allowed me to use a plug-in for my Eufy security system for Apple HomeKit.
If the doorbell is triggered by motion or starts recording a clip during certain hours my Philips Hue bulb at the front entrance goes on. It also reveals contact sensors which I can customize automations such as when the door opens at XX hour my light turns on so I can take the garbage out and have the light turn off after a few minutes.
Hope this helps.