Ok, I'll try and explain this as simple as possible. He says the runway will match the speed of the tires so that means the plane will have zero forward movement.
And that's where you're going wrong in your reasoning, right from the beginning. The conveyor belt will only match the speed of the wheels, not the plane. In fact, the conveyor belt will determine the speed of the wheels. The wheels can and will spin freely without regard for the forward airspeed of the airplane itself.
The propeller, which is not in any way affected by the movement of the runway, will still pull the plane forward through the air, and moving forward through the air is what causes a plane to fly, not the speed that the wheels are spinning on the ground.
Keep typing things like "I'll try and explain this as simple as possible", and the crow you'll be eating will just keep getting bigger.