The first sentence made me expect Asimov's "The Feeling of Power", which--avoiding spoilers--regards the (over-)use of calculators by a society.

However, since I brought up calculators, I'd like to pre-emphasize something: They aren't analogous to today's LLMs. Most people don't offload their "what and why" executive decision-making to a calculator, calculators are orders of magnitude more trustworthy, and they don't emit plausible lies to cover their errors... Though that last does sound like another short-story premise.