Portainer Config for Edge Agent APIs

I have Portainer set up and running as an addon on my Home Assistant Raspberry PI 4. I was hoping to use that instance of Portainer to control Docker containers on other servers via a Portainer Edge Agent. However, I am having trouble understanding what is to be entered into the Host field of the Portainer Network configuration field. Any help would be greatly appreciated…

Update: For clarity, this is the configuration option

not sure portainer agent will have external access and why do you need to used portainer edge agent? In my case, I control all my docker via a single portainer via docker API + TLS and it works great.

I use physical buttons for control