Can you listen to music while streaming twitch or audio books?

Can you listen to music while streaming twitch or audio books?

Only if this content is not protected by copyright.

Yes, but you are not allowed to keep the stream in the archive

But you can hear with headphones that the audience can't hear it

Of course you can, but I don't think it's a good thing. But you have to make sure that the audience doesn't hear it.