What is the fate of Medium Size Stars when they run out of helium, resembling a
lump of carbon?

It might. it might because if you think about if they discovered if we came from (lets say something funny like aliens) and thy found cells that matched and they would have t do more research about it but would most probably change their theory.

Photosynthesisthe process by which green plants and some other organisms use sunlight to synthesize foods from carbon dioxide and water.