The equation of a circle is $\operatorname{Re}\left(z^2\right)+2(\operatorname{lm}(z))^2+2 \operatorname{Re}(z)=0$, where $z=x+i y$. A line which passes through the center of the given circle and the vertex of the parabola, $x^2-6 x-y+13=0$, has $y$-intercept equal to $\_\_\_\_$ .