Hi @Johan_Geyser welcome to Zwift Forums.
Shuji at Zwift HQ here. I looked at your server logs and as of yesterday’s last successful pairing of your Click - it was on firmware version 1.0.0. Please update to the latest firmware version 1.1.0 before we take next steps. That link will take you to a video showing how to update the firmware using the Zwift Companion app. IMPORTANT: your Click must not be paired to the game app, or the Companion app will not "see’ it for the firmware update.
The single-speed Zwift Cog is comprised of the 14 tooth cog and two plastic guide discs mounted to a Shimano Hyperglide-compatible freehub body. Using an HG lockring tool and a chain whip, you can remove the cog and plastic discs, and replace it with an 8/9/10/11/12 speed Hyperglide compatible cassette of your choice. Instructions are shown in this video.
One thing to note: once you get the Click working - you can use Virtual Shifting in combination with physical shifting of the derailleur. More information on this previous thread.