The music in the iTunes Store is separate from an Apple Music subscription.
When using iTunes on a Mac, got to the Store tab, then use the Search field to find your tune. In Search, select the Store selector to search there instead of in your Library.
Purchases from the iTunes Store are not included with the Apple Music subscription, so you will have to pay for that purchase separately. Music from the iTunes Store can be burned to disc.
To avoid confusion on versions, you may want to delete the Apple Music version from your Library, so that you will have only the Store version of that track in there. (Not sure how that is handled by the app, if you don’t take precautions.)