Let \(P\) be the plane passing through the line \(\frac{x-1}{1}=\frac{y-2}{-3}=\frac{z+5}{7}\) and the point \((2,4,-3)\…

Let \(P\) be the plane passing through the line \(\frac{x-1}{1}=\frac{y-2}{-3}=\frac{z+5}{7}\) and the point \((2,4,-3)\). If the image of the point \((-1,3,4)\) in the plane \(P\) is \((\alpha, \beta, \gamma)\), then \(\alpha+\beta+\gamma\) is equal to

[JEE Main 2023, 08 Apr (Shift 2)]