Neat! Managed to use this handy tool (next toot) to connect my Stadia controller via Wi-Fi and use it "wireless". This way I can connect my PC to my TV via an HDMI cable and play video games on the couch.
Not a perfect way, specially since Stadia was the best experience, but oh well. Much better than sitting on a desktop chair for an hour straight.
I am considering on grabbing a cheap Chromecast, but hey, this way I can also enjoy all my Steam library and even emulated games.