There could be a sensor that detects the handle being pulled before the handle starts to engage the mechanical release. As soon as the handle has moved the minimum distance (or had the minimum force applied), the windows could move down and the actuator moves the door mechanism before the handle even engages with it.
Having one handle to open the door is a better implementation of that philosophy than two entirely separate door opening systems.
How does it work exactly? If you pull normally, it opens electrically, if you pull harder and further then it opens mechanically?
There could be a sensor that detects the handle being pulled before the handle starts to engage the mechanical release. As soon as the handle has moved the minimum distance (or had the minimum force applied), the windows could move down and the actuator moves the door mechanism before the handle even engages with it.