PIMSO 2025 - Mathematics - Secondary 4 - National Round Question 16

The perimeter of a triangle formed by points A(1,2), B(3,-4), and C(-2,-3) is in the form $x\sqrt{2y}+\sqrt{2z}+\sqrt{2s}$. If $y<s<z$, what is the value of $x+y\times z-s$?