Would it be within the rules to offer to tell the GK the ending to HPMoR? That is something the AI would know
Why would the AI know that?
By using Solomonoff Induction on all possible universes, and updating on the existing chapters. :D
Or it could simply say that it understands human psychology well (we are speaking about a superhuman AI), and understands all clues in the existing chapters, and can copy Eliezer's writing style... so while it cannot print an identical copy of Eliezer's planned ending, with a high probability it can write an ending that ends the story logically in a way compatible with Eliezer's thinking, that would feel like if Elizer wrote it.
Oh, and where did it get the original HPMoR chapters? From the (imaginary) previous gatekeeper.
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