Depends. Newton’s third law is scientific enough to explain what’s going on. Bernoulli and Navier-Stokes and all the hard equations are needed when you need to optimize the system or understand the micro scale, but they’ll simplify into conservation of energy or momentum in the macro limit.

Newton's law doesn't do a good job of explaining why airplane wings have the shape they do. Why not just use a flat wing at a 45 degree angle?

Exactly what I had in mind when I said Navier-Stokes.

It isn't the job of Newton's third law to explain that. It's job is to say that if you have 200 ton aircraft and want to keep it in the air, it has to push 200 tons of air down no matter if it does that with a carbon-fiber CFD-optimized wing or a barn door nailed to the airframe.