Let the equation of the plane, that passes through the point \((1,4,-3)\) and contains the line of intersection of the p…

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

[JEE Main 2021, 31 Aug (Shift 1)]