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Would various close-to-omnipotent Super Robots fit this trope?
Examples: Ideon (powered by a supernatural force that can effectively reset civilization and life), Getter Emperor (THE terrifying force of nature, whose pilot's voice(s) quake the very universe, and the amount of energy it throws around shatters galaxies, crushes worlds, and can even seed life into otherwise barren realms), Shin Mazinger Zero (THE ultimate form of Mazinger that surpasses Mazinkaiser, and can create and destroy entire timelines, living up to the hype of possessing the power to be God or Devil)
Might I suggest a new title?
"A God am AI," maybe?
That's also clever, but I don't see a compelling reason to change it.
As for later novels in the Culture series having moved away from the Referers being right due to probability, it's probably because that's nonsense - random chance has no memory; past "sheer luck" is no prediction of future luck, Ringworld notwithstanding.
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How well does it match the trope?