Let the system of linear equations \(-x+2 y-9 z=7\), \(-x+3 y+7 z=9\), \(-2 x+y+5 z=8\) and \(-3 x+y+13 z=\lambda\) has …

Let the system of linear equations \(-x+2 y-9 z=7\), \(-x+3 y+7 z=9\), \(-2 x+y+5 z=8\) and \(-3 x+y+13 z=\lambda\) has a unique solution \(x=\alpha, y=\beta, z=\gamma\). Then the distance of the point \((\alpha, \beta, \gamma)\) from the plane \(2 x-2 y+z=\lambda\) is

[JEE Main 2023, 15 Apr (Shift 1)]