Actually you're right. If you view source, you can see `const response = await fetch(`/api/clocks?time=${encodeURIComponent(localTime)}`);`. I'm not sure how that API works, but it's definitely reading the current time using JS, then somehow embedding it in the HTML / CSS of each LLM.

It's crafted with a prompt that gives the AI the current time, then it simply refreshes every minute so the seconds start at zero correctly.