Step 1: Rule out the static-fluid laws first.
Pascal's law is about pressure transmission in a fluid at rest, and Archimedes' principle is about buoyant force on a submerged body, neither of which involves the ball spinning or moving.
Step 2: Narrow down within the moving-fluid laws.
Bernoulli's principle is the general relation between fluid speed and pressure, but by itself it does not explain why a spinning ball specifically gets pushed sideways.
Step 3: Identify the spin-specific phenomenon.
The spin drags a thin layer of fluid along with the ball's surface, making the fluid move faster on one side and slower on the other; the resulting pressure difference, a consequence of Bernoulli's principle applied to this asymmetric flow, is specifically named the Magnus effect.
\[ \boxed{\text{Magnus effect}} \]