The way to get it to work is attempt to login through Adrenalin as normal. When you get the unsupported browser message, copy the entire URL from Adrenalin and paste it into your web browser. Complete the login process on the browser and once you are logged in, do not close the browser or navigate away from the page you have landed on. Copy the URL from the browser and now paste that into the Adrenalin web page and hit enter.
This video shows it in detail: https://www.youtube.com/watch?v=-c7nwHrLTco
If the link doesn't work, the title of the video is 'AMD Adrenalin Twitch Login Error 100% Guaranteed Fix'