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)]