How to locate an Apple Watch that may be out of battery?

Can I locate an Apple Watch in my house if it may have run out of battery?

I misplaced my Apple Watch somewhere in my house. The last time I definitely used it was 26 September, and Find My currently shows its location at my house from about 11 hours ago.

The watch normally lasts around 3–5 days because I use Low Power Mode most of the time, so I’m not sure whether it has only just run out of battery or is still powered on.

Find My’s Play Sound feature isn’t currently helping me locate it. Is there any way to tell whether the watch is still powered on, use Bluetooth/proximity to locate it more precisely, or access any more detailed last-known location information?