OK, here’s another try.
Imagine one of the “people-mover” conveyor type walkways you see in large airports is set to move at a constant speed of 5 MPH.
Imagine also, a guy strapped to a skateboard using a powerful fan as his only propulsion. He has the fan set to move him at a constant 5 MPH.
If fan-propulsion-skateboard-guy is on the conveyor, facing opposite the direction of movement of the conveyor, does he move? (in relation to the area outside the conveyor)
Now, imagine that the speed setting for the conveyor and for the fan-propulsion system are synchronized, (speed up the fan to say, 10 MPH and the conveyor also speeds up to 10 MPH, etc…)
The analogies with ice and pulling on ropes, etc… are flawed. By “pulling on a rope” you are defining a change in dimensions as part of the problem (distance).
The plane does not take off.