According to Logitech, it is not compatible with Windows 11.
However, there are folks who have got it working in MSFS.
One thing I have seen is this site which has Windows 11 drivers for it.
How well they work, or if this is just spam I don’t know.
https://driversol.com/drivers/usb-devices/logitech/logitech-extreme-3d-pro-hid