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Super Saiyan God Super Saiyan Goku is confirmed for Dragon Ball FighterZ. His friends call him SSGSS Goku for short, or "Mr. Son" if you're feeling nasty.

But we already knew this. In fact, I realize only now that I said he was Super Saiyan Gold Super Saiyan Goku in that older article. Boy, is my face red. I've brought great shame to my website, my family, and probably my pets.
Goku described it best about how he became a Super Saiyan God Super Saiyan, “A Saiyan with the power of a Super Saiyan God further transforms himself into a Super Saiyan.”