FYI, this process will be different after the new epoch is rolled out to all users, and the new process is already available. If you have GNOME Software or Discover installed, you should find a hardware drivers section available in those software centers which allows you to install relevant drivers for your system.
Once the epoch is done, DoFlicky and the old Solus Software Center will both be removed. I'll miss the fun name, but the new system is more functional and streamlined 🙂. For now, though, the old process will work just fine (and no action is required if you already have drivers installed). I just thought it would be good to make this upcoming change known.
