There is a feature in MMF2 in the proporties of the application that says, like "Play sounds over frame" or something like that. That should work, but I'm not sure if that is on TGF2. Like 95% sure it is.
You can log off any time you like, but you can't ever leave.
You need to make sure the music starts playing again in the 2nd frame when it's finished though, so you'll need an condition like 'Music not playing' or 'Music stopped' = play music.