The "parameters of the scenario" are that the plane is on a conveyor belt, and that the belt matches the plane's speed.

We have a logical point, that as the belt MATCHES the plane's speed, the plane has to MOVE for the belt to move.

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The Plane CANNOT MOVE BY TURNING ITS TIRES.

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IE: A PLANE, in the context of this "can it take off" scenario...CAN NOT MOVE BY ROTATING ITS TIRES.

THE PLANE CAN NOT TURN ITS TIRES....the tires can ONLY turn, IF the plane rolls forward....by engine thrust PUSHING IT...and the tires JUST ROLL, PASSIVELY.

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Its a conyeyor belt...it does not change fluid dynamics, physics, wind speed, air density, or any of the odd suggestions that it might.