Hey there.
I'm also still having the same issue with the latest version of the game.
The error that pops up is:
"You can’t open the application “Secret_Care_Cafe” because this application is not supported on this Mac."
I'm running Ventura 13.6.8 (cannot upgrade to Sonoma any further).
I haven't been able to update the game version beyond v0.8.31 so it's an issue that's been present for the past few updates.
Thank you for your time and efforts!