This entirely possible with some lawyers, some business analysts, perhaps some hospital administrative consultants, and ordinary support staff. That team might even use LLMs in some capacity but not in the way described by the article. Reviewing 90,000 hospital and other service contracts sounds like just another project for a mid-sized or big law firm; or the government. That is how those contracts were created in the first place.
This is like the meme about someone's uncle talking about how there are these 90,000 contracts that no one knows how to review because we've forgotten how to do it. If there's something America still knows how to do it's how to review tens of thousands of turgid government contracts.