The plane will take off & fly because the thrust from the engines is pushing against the still air, not the moving runway (conveyor).
The moving runway will cause some more wheel friction and it might have a negative effect from the gradient of air movement as the air is pulled along by the conveyor surface, but the engines are up high enough that that shouldn't matter. If the plane started moving backward before it tried to move forward, then it would have to overcome more of it's own inertia to get going. But disregarding these factors, it would take off and fly.
The moving runway will cause some more wheel friction and it might have a negative effect from the gradient of air movement as the air is pulled along by the conveyor surface, but the engines are up high enough that that shouldn't matter. If the plane started moving backward before it tried to move forward, then it would have to overcome more of it's own inertia to get going. But disregarding these factors, it would take off and fly.
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