Need to figure out what pins do what on that battery, measure out voltage while charging, full while plugged, and on battery alone.That's as far I'm any good though. I would think you need to discover if there's an extra circuit on your laptop that deals with the battery. Also need to know if it is a pull through type of circuit on the laptop where when the battery is removed the laptop doesn't function.
Other problem is that it only kicks out 10volts. Your motherboard probably wants 12B.C. Also have to figure out switching between the m3 and battery. Going to need a 5 volt output from that battery too.
Just my .02