Unable to prevent MacBook Air M1 Monterey from being woken up by Bluetooth accessories

Hi All,

I wonder if anyone can hep. I think not but I hope yes :)

Anyway, the issue is I am using MacBook Air M1 with macOS Monterey with external Bluetooth keyboard and Mouse (Logitech MX Keys for Mac and old trusty Logitech MX master), but when I put the Mac to sleep with lid open when plugged in it keeps waking up. Is there anything I could do to prevent this behaviour?

Thanks.