Please help! What is the best practice to handle Google Assistant integration in another HA instance?

After a long thinking I finally made my choice and purchased few Google Nest products and integrated manually Google Assistant to my HA located home.

I was a bit hesitant because my native language is not supported yet in GA even though Google search speaks and listens flawlessly my native language. The problem using English here is that most of “key words” are just impossible to pronounce in English so that GA understands ( For instance if I ask the distance to certain city) On the other hand I can easily control my HA using English.

So far I am very pleased this integration but my question is about the integration in my other HA instance in separate location. What is the best way to handle it?

You could probably use the first integration but isn’t a bit confusing when you have same names with entities and devices.

Or do I create a second integration with another gmail account?

Please all answers will be appreciated. I would rather start to right direction at once instead of using trial and error method.