Controlling the Wyze Floor Lamp or using its Bluetooth remote with HA?

I have a Wyze floor lamp, it does connect to the Wyze app, but only communicates over BLE. It does have a small wireless Bluetooth remote control and it supports pairing.

I’m wondering what the feasibility is of controlling the lamp with Home Assistant’s BLE integration. It would be equally interesting to be able to pair the small Bluetooth remote to Home Assistant to try and use it for controlling other things, since it has both a button and a dial on it.

Has anyone attempted this, or something similar?

I second this; I also have a couple of these lamps and it would be very cool to add them to HA.