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Hi, welcome to apple communities.
- Verify you have a good Wi-Fi or cellular data connection; Settings > iTunes & App Store > Cellular Data needs to be enabled to use with Apple Music.
- Close the Music App: How to force an app to close on your iPhone, iPad, or iPod touch
- Tap Settings > Music > iCloud Music Library; disable iCloud Music Library
- Restart iPhone: Restart your iPhone, iPad, or iPod touch
- Re-enable iCloud Music Library from Settings > Music
- Open Music app and test