Just imagining an episode of Star Trek where the inhabitants of a planet have been failing to progress in warp drive tech for several generations. The team beams down to discover that society's tech stopped progressing when they became addicted to pentesting their LLM for intelligence, only to then immediately patch the LLM in order to pass each particular pentest that it failed.
Now the society's time and energy has shifted from general scientific progress to gaining expertise in the growing patchset used to rationalize the theory that the LLM possesses intelligence.
The plot would turn when Picard tries to wrest a phasor from a rogue non-believer trying to assassinate the Queen, and the phasor accidentally fires and ends up frying the entire LLM patchset.
Mr. Data tries to reassure the planet's forlorn inhabitants, as they are convinced they'll never be able to build the warp drive now that the LLM patchset is gone. But when he asks them why their prototypes never worked in the first place, one by one the inhabitants begin to speculate and argue about the problems with their warp drive's design and build.
The episode ends with Data apologizing to Picard since he seems to have started a conflict among the inhabitants. However, Picard points Mr. Data to one of the engineers drawing out a rocket test on a whiteboard. He then thanks him for potentially spurring on the planet's next scientific revolution.
Fin