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

Let the equation of the plane, that passes through the point \(\left( 1,4, - 3 \right)\) 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?

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