I guess it depends on what you wish to livestream. See how we go about it by reading the Github to the Jukebox:

GitHub

GitHub - LightningJukeboxBot/LightningJukeboxBot

Contribute to LightningJukeboxBot/LightningJukeboxBot development by creating an account on GitHub.

In particular the part to OBS:

GitHub

GitHub - LightningJukeboxBot/LightningJukeboxBot

Contribute to LightningJukeboxBot/LightningJukeboxBot development by creating an account on GitHub.

You can use

VDO.Ninja

VDO.Ninja

Bring live video from your smartphone, computer, or friends directly into OBS Studio or other. 100% free.

to capture various image/audio/text/chat sources to import and compose into one vid.feed via OBS to stream to wherever. We stream to zap.stream which you can find in Amethyst client for mobile to tune into or via any web-browser. If you want to stream to multiple destinations, get the relevant plugin (read jukebox github readme)