Curiously, this closure is not reflected on the American Express website. It still says:
Yes, it's odd that they didn't update it yet. What was updated as early as yesterday morning, however, was the lounge finder tool in the Amex app. It says "The Centurion Lounge at Los Angeles International Airport is temporarily closed due to building repairs. We apologize for the inconvenience and look forward to welcoming our premium Card Members back soon."