I'm having this same issue. I'm using a Windows 10 Laptop. The issue presents with both the app and the website (I use Chrome). It'll play a song or three then just stops on the next song. The player acts like I paused playback as soon an the song started. To get the music playing again I have to hit the next song button as the play button won't restart the playback. It doesn't display an error code or anything. It just "pauses" the next song when the current one ends. Forcing me to have to skip to next to get it going again.
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