Ama1997,
Thanks for sharing this additional information about your issue.
"The source I am trying to add from is an Apple Music Playlist"
It sounds like you are trying to save specific songs that you are hearing, rather than the entire Apple Music Playlist.
If that is the case, I would suggest downloading the specific song from Apple Music (or purchasing it from the iTunes Store if you wish to own the song.)
Then, add the downloaded song to the playlist you've created.
Add and download music from Apple Music or buy music from the iTunes Store
Create and share Apple Music playlists
"Save an Apple Music playlist
You can add any public playlist to your library, including playlists that you find in the For You section of Apple Music or playlists your friends send to you. To save playlists to your library, find the playlist that you want to save, then tap or click Add.
By default, the songs in the playlist stay separate from your main library. If you want to add each song in the playlist to your library, you can change your settings.
If Apple or the owner of the playlist adds or removes any songs from a playlist that you save, the saved playlist in your library will automatically refresh to reflect the updates."
Be sure to make a backup of your iTunes Library when making significant changes to it - Back up and restore your iTunes library on your PC
Take care.