Adding song to playlist from Apple Music and not from personal library...

Question: Is there a way when making a playlist to force Apple Music to pull the song from Apple Music Streaming service (AMS) rather than from my personal collection?

I am building a playlist for my indoor cycling class that includes a song that is both in my personal collection that I ripped many years ago and is also available through AMS.

If I add a song to my Apple Music playlist that is not in my personal collection, it adds it from AMS but if it is in my personal collection it adds it from my personal collection. This means my Apple Music playlists are created from two different sources.

The problem is my indoor cycling software can pull my playlists from AMS but it won't pull those songs coming from my personal collection. In the past I have been able to work around this because most of the songs in my personal collection are available from AMS on multiple albums (example I have the original album but AMS has a compilation Essentials album) and since the songs are not exactly the same my Apple Music Playlist is not pulling from my personal library.

Today that is not the case. I have two songs on my playlist that are only available on one album so my personal collection version and the AMS version are identical. So Apple Music pulls those songs from my personal collection and my cycling software cannot see them.

I need to make Apple Music pull songs from AMS to my playlist rather than defaulting pulling them from my personal collection. Thoughts?