WebExtensions: Multiple browser_action items?

Is it possible to have more than one button added with browser_action? I tried a couple things to add two, but it only shows the first one listed. It doesn’t seem possible since none of the properties allow for anything unique to distinguish different buttons.

Looks like the same issue may exist for page_action

Are you able to add multiple in Google Chrome?

I can’t post my original reply, but it looks like chrome only allows each extension to have one