Intriguing scenario. However, as I understand it, a Nobel Prize can be awarded only to a living person. It can't be awarded posthumously. By extrapolation, I assume it cannot therefore be awarded to an entity that is not (or never has been) a living person.
So I believe either (1) the Nobel Prize rules would need to be changed, or (2) an AI in line for the Nobel Prize would first have to be classified as a living person.