I’ve had a laptop that I’ve never been able to get WoL (Wireless or otherwise) to work, no matter what I tried. Recently realized that the Bluetooth keyboard I used was able to wake it with a key press though.
I searched and found an ESP Home project that will make an ESP32 emulate a Bluetooth keyboard - https://github.com/dmamontov/esphome-blekeyboard
Now for $6 of hardware, I can wake my Laptop up remotely via HA, whenever needed. Definitely recommended!
You could ditch the solenoid and use a ATMega32u4 that can act as a HID device to send a keypress signal.
I’m mildly surprised OP’s laptop keeps the bluetooth radio powered up while asleep, but I would be a lot more surprised to find one that doesn’t work with USB HID.
I was a little surprised as well, but I think it’s because the keyboard / mouse I use (and the ESP32) all use Bluetooth LE specifically.
I looked at USB solutions first actually, but then decided to try ESP Home solution since I was already familiar with the system.