The next page (arrow on bottom of page) explains why Bernouillis Theorem is wrong.
It does nothing of the sort. It explains why the "equal transit time" assertion, which is sometimes used to explain lift to pilots by flight instructors, is wrong.
Bernoulli's theorem simply relates the pressure in an airflow to its velocity. It's correct for low-speed inviscid flow, which is a model that has been producing very consistent and accurate predictions of aerodynamic quantities for 90 years.
The air flowing over the top of the lifting wing
is moving faster than that flowing below it, and the pressure
is therefore lower. The fallacy is in the explanation for why the air over the top is moving faster.
You may not be sure why wings fly, but aerodynamicists and engineers have been for most of the last century!