Let the system of linear equations \(\begin{aligned}& -x+2 y-9 z=7 \\& -x+3 y+7 z=9 \\& -2 x+y+5 z=8 \\&…

Let the system of linear equations
\(\begin{aligned}& -x+2 y-9 z=7 \\& -x+3 y+7 z=9 \\& -2 x+y+5 z=8 \\& -3 x+y+13 z=\lambda\end{aligned}\)
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)]