This GitHub issue says 6-7 GB VRAM: https://github.com/resemble-ai/chatterbox/issues/44
But if the model is any good someone will probably find a way to optimize it to run on even less.
Edit: Got it running on an old Nvidia 2060, I'm seeing ~5 GB VRAM peak.
Try AI Studio if you haven’t already: https://aistudio.google.com/
Constraints make the specific goal (moon landing) harder, but force technological development. If landing on the moon had been 'easy' with existing tech and not required that massive investment of resources, progress on everything else is delayed. Material science, engines, batteries, solar, radios, integrated circuits, even PCs and smartphones - sure it would all have happened eventually but the key innovations were made when they were because of constraints.