Given the set $(8,3,2)$, choose the option that follows the same mathematical logic.

Let's look at the relationship between the numbers in the given set $(x,y,z)=(8,3,2)$:
* $z^2-1=2^2-1=3=y$
* $y^2-1=3^2-1=8=x$

Let's test Option C: $(63,8,3)$:

* $z^2-1=3^2-1=8=y$
* $y^2-1=8^2-1=63=x$

This matches the logic perfectly.