From wikipedia, "Ga2O3 is an intermediate in the purification of gallium."

https://en.wikipedia.org/wiki/Gallium(III)_oxide

So we'd turn the gallium oxide back into gallium the same way we did in the first place, when we made the gallium. I'm guessing we can also come up with chemical reactions for the other two.

However, you're right that gallium production is quite low. It's a byproduct of zinc production from bauxite, and we get only a few hundred tons per year. Wikipedia doesn't say what the potential might be if we gallium were the main product.

https://en.wikipedia.org/wiki/Gallium#Production_and_availab...