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