Default Browser Switching

I need to occasionally switch the default browser, which i can do with Brave using terminal command "open -a "Brave Browser" --args --make-default-browser", however this doesnt seem to work with BetterTouchTool. Is it possible to enable this, or is there another way of quick switching?

I'm not sure I fully understand, is this about making about making BTT the default browser? Or making brave the default browser?