How To Disable The Spotify Tray (Notification Area) Icon In Linux

The Spotify tray (notification area) icon is well... useless and ugly, so I've removed it from my notification area and I though I'd share the "trick". Please note that I'm using the WINE (Windows) version of Spotify (so it might or might not work with the native Spotify client for Linux which you can currently use only if you're a paying subscriber).