Syncing Old Classic IPod with purchased music in Apple Music

I would like to continue to use my Classic Ipod to play music that I have purchased and is in my library in Apple Music.

Clearly the Ipod does not have Internet connectivity

Is there any way to sync/transfer music on Apple Music to the Ipod. When connecting the Ipod is recognised as a drive by the PC but there is no sync facility in Apple Music (presumably because Apple expects this via the ICloud).

I am running Apple Music on a PC using Windows 11

Thanks for any suggestions!