Thanks! Happy to hear you like it!
Other people have tried to combine the Shuffler and Archi with no success. As far as I am aware, the suspension of the process of most of the games stops the communication to the AP server.
"Fixing" this would require for the game mods to support occasional suspension and I am afraid that would be too much work. My recommendation would be to run games that allow for quick reconnect.
I might add the option to not suspend the processes; this way games that do not relly on constant input could be shuffled with no connection problems. Games like Slay the Spire would be perfect for this.