I want to sync only certain Music playlists from M1 Mac Studio to M1 MacBook Air

I want to sync only certain Music playlists from M1 Mac Studio to M1 MacBook Air. I realized I need to physically connect the two devices via cable at least initially. So I used Thunderbolt 4 to connect them. But they do not recognize each other in their Finders and Music apps. I checked the Settings for the Finder in both devices and they are set correctly.

By the way, my iPhone 11 connects to both the devices no problem. I thought I'd sync those playlists from iPhone to MacBook Air, but it appears it only sync from MacBook Air to iPhone, which is opposite of what I want.

macOS Sequoia Version 15.13.1

Please advise.