How can I find my AirPods case

How to find your lost AirPods, AirPods Pro, or AirPods Max - Apple Support

You can just 'Find My' to locate the AirPods, but not the case. The only way to find the case is to manually look for it.

The "Find My" locates your AirPods, not your case. So if your AirPods are not in your case, and not charged, then you're going to have to start searching for it on your own.