lift
An aeroplane flies because of velocity and angle of attack of the aerofoil,
cause and effect are in play here purely down to Newtons theory, Bernolli has only a small part if any to play here.
Think of this, if an aeroplane really was sucked into the air then all those really big aircraft will have to have very strong rivited sheeting to hold hundreds of tons up aloft, also how could an aeroplane fly upside down and not be sucked into the ground (and don't talk about centre of pressure), also the comments above are correct there is no such thing as pulling or sucking it's another matter of cause and effect a common mis-conception, I will try to explain another time.