If the area of the region $\left\{ {(x,y):\left| {4 - {x^2}} \right| \le y \le {x^2},y \le 4,x \ge 0} \right\}$ is $\left( {\frac{{80\sqrt 2 }}{\alpha } - \beta } \right),\alpha ,\beta \in N$, then $\alpha + \beta $ is equal to _____.
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