Slunnie!

you stirrer!!!
It can NOT lift off...
The reason it can not do so is it cannot meet ALL requirements of the question and comply.
So take out:
the airflow over the wing
Thrust from the engines not the wheels
To meet all the requirements of the question the result is impossible.
To take flight airspeed (flow over wings) must be sufficient to provide lift
But the conveyor is claimed to match any attempt to move through the air whilst rolling.
To move through the air the conveyor would need the aircraft to move along it.
But the question states that it can not.
What would happen is the PLC would run to infinity and it would go bad!!!
So unless there was a force gale sufficient to exceed the wind speed over the wings to produce lift and get the wheels clear of the belt - no, it can not take flight!
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