Three Dimensional Geometry: JEE Main 2021 Mathematics question

Let the equation of the plane, that passes through the point (1, 4, $-$3) and contains the line of intersection of the planes 3x $-$ 2y + 4z $-$ 7 = 0 and x + 5y $-$ 2z + 9 = 0, be $\alpha$x + $\beta$y + $\gamma$z + 3 = 0, then $\alpha$ + $\beta$ + $\gamma$ is equal to :