You could vibe yourself up an AMA tool where people can submit questions, an agent goes to work on them, then the question and agent answer sit in a queue waiting for you to provide a review and give your weigh-in.
I'm pretty sure this is the best idea I've ever heard of for this technology. You should build that tool and it should become mandatory throughout the tech world.
Can we get some enabling legislation? A UN resolution perhaps?
Coworkers are demonstrating that they value immediacy and possibly also some combination of embarrassment about their question or social anxiety about asking someone else, over accuracy. Not only does that still require the coworker to review the question, and also lose immediacy vs an LLM, but it might even take longer before rogerthis gets around to reviewing the queue.