I.12.14 Vector field circulation

condition: Calculate using the Stokes formula and directly the circulation of the vector field \( \vec{a} \) along the contour Г, indicating the direction of the round on the drawing. \[ \begin{array}{l} \vec{a}=x^{2} \vec{\imath}+y(z-2) \vec{\jmath}+(z+x) \vec{k}, \\ \Gamma:\left\{\begin{array}{l} x^{2}+y^{2}=4 \\ x+y+z=2 \end{array}\right. \end{array}\]