Let \( S_{1}=\{z\in \mathbb{C}:|z|\le 5\} \), \( S_{2}=\left\{z\in \mathbb{C}:\operatorname{Im}\!\left(\dfrac{z+1-\sqrt{3}\,i}{1-\sqrt{3}\,i}\right)\ge 0\right\} \) and \( S_{3}=\{z\in \mathbb{C}:\operatorname{Re}(z)\ge 0\} \). Then the area of the region \( S_{1}\cap S_{2}\cap S_{3} \) is:
