If it has the same AppleScript dictionary as Chrome, then you can target the Google Chrome actions at it using the preferences just like you can point them at Chrome Canary.
defaults write com.stairways.keyboardmaestro.engine AppleScriptGoogleChromeName "Google Chrome Canary"
defaults write com.stairways.keyboardmaestro.engine BrowserGoogleChromeName "Chrome Canary"
The AppleScript name is used in AppleScript’s which control the browser in the form of tell app “[browser name]”. Note that the Chrome browser must behave like Chrome, or the actions will not work. Do not bother trying to set them to Firefox or something like that as it will not work. All this allows you to do is select a specific version of Chrome.