I'm not the one you're asking, but I'm in a similar situation. I've attemped to get this working and the problem is that their Windows client must be downloaded and installed through the Microsoft Store and it's packaged in a way you can't run in standalone after extracting it. Some apps published through the MS Store do work fine this way, but I could not get it working for the Apple Music client.

Apple Music does have a web player, but it is also limited to lossy streaming like alternative clients like Cider is.