The plane has to gain airspeed to lift off. The force of gravity keeps it on the ground when it's stationary.

For it to move forward, it would have groundspeed. The air is calm. That means the air is equal to the ground in relation to the plane. If the plane cannot move on the ground, it cannot move in the air.

It cannot move on the ground, because the conveyor is negating it's forward movement.

It wouldn't matter if the wheels had a true no-friction connection to the plane. The conveyor is STILL going to counteract it.

It WOULD matter if the wheels were locked - the jets should have enough thrust to burn the wheels off (since the conveyor then wouldn't move, since the wheels aren't moving).

The wheels move because of the jets. Which means the jets in effect move the conveyor (since it matches the speed in opposite).
_________________________
"Nature has constituted utility to man the standard and test of virtue. Men living in different countries, under different circumstances, different habits and regimens, may have different utilities; the same act, therefore, may be useful and consequently virtuous in one country which is injurious and vicious in another differently circumstanced" - Thomas Jefferson, moral relativist