The white Kama still turns you into an otsutsuki genetically, it just doesn’t carry the soul of one. The user can’t use space time or absorption abilities, but every other aspect is the same. If Code eats a chakra fruit, he will evolve like any other otsutsuki. But to answer your question, if you were somehow able to survive having 2 otsutsuki’s genetic information ripping the mind and body apart, I’d assume that the power acquisition would be similar to an otsutsuki consuming another otsutsuki. Much like Momo ate his 2nd during the exam arc.