I found a fairly old tip to fix this. spoiler alert: it doesn't work. there are no three lines, or infinity icon.
how do you put a stop to Music trying to sneakily download random music (that you probably didn't want to hear anyway) off the internet?
iPhone XR
Greetings Edward Devlin1,
It's a pleasure to assist you with Apple Music. By chance, do you have AutoPlay enabled? When this feature is enabled, similar songs will play automatically. Here's how to check:
"Let Autoplay pick what plays next
Autoplay takes the work out of choosing what to play next. Just play a song, then Autoplay finds similar songs and plays them afterward.
To see your Autoplay queue:
.To turn Autoplay on or off, tap the Autoplay button 
in the upper-right corner of your screen. If you turn off Autoplay on one of your devices, then Autoplay is turned off on any device that's signed in with your Apple ID.
"
More details here: Add music to your queue to play next on your iPhone, iPad, iPod touch, or Android device
Take care.
Greetings Edward Devlin1,
It's a pleasure to assist you with Apple Music. By chance, do you have AutoPlay enabled? When this feature is enabled, similar songs will play automatically. Here's how to check:
"Let Autoplay pick what plays next
Autoplay takes the work out of choosing what to play next. Just play a song, then Autoplay finds similar songs and plays them afterward.
To see your Autoplay queue:
.To turn Autoplay on or off, tap the Autoplay button in the upper-right corner of your screen. If you turn off Autoplay on one of your devices, then Autoplay is turned off on any device that's signed in with your Apple ID.
"
More details here: Add music to your queue to play next on your iPhone, iPad, iPod touch, or Android device
Take care.
Apple Music (iPhone ver specifically) just playing random songs after playing all songs in playlist.
