The plane would still move forward until the wings created enough lift for it to take off but the wheels would never turn since the treadmill would be matching their speed but in the opposite direction…the wheels not turning would have no effect on the plane taking off.
Maybe the plane would take off just a smidge sooner because none of the energy/thrust put out by the engines would be wasted energy put into spinning the wheels against the ground while getting the plane up to speed.
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