Download and install AutoHotKey.

Copy and paste Tigerite's script into Notepad. Save as sidebet.ahk (or whatever clever filename comes to mind).

Just for example, if you save this script to your desktop with AutoHotKey installed, then double click on the sidebet.ahk desktop icon (since *.ahk should now be associated), the script and program will load. With the default configuration in Windows, you should now see an icon on your systray bar.

Load up Party and watch those icons disappear.

Thanks btw, Tigerite. I found your script very useful.