An AI just noticed that a job candidate's other offer expires at 6pm tonight, and no one asked it to look. That's from the demo for Claude Duet, the new app Anthropic announced today. It reads your email and calendar in the background and messages you in the morning with whatever actually needs you. Nicole, the business owner in the demo, wakes up to a brief with three things in it. There's a $640 health permit for her new Chicago location, that 6pm hiring deadline, and a $410K contract…