Integral Calculus: JEE Main 2023 Mathematics question

Let $y = p(x)$ be the parabola passing through the points $( - 1,0),(0,1)$ and $(1,0)$. If the area of the region $\{ (x,y):{(x + 1)^2} + {(y - 1)^2} \le 1,y \le p(x)\}$ is A, then $12(\pi - 4A)$ is equal to ___________.