Three Dimensional Geometry

The angle between the line \(\frac{x+1}{2}=\frac{y-2}{1}=\frac{z-3}{-2}\) and plane \(x-2 y-\lambda z=3\) is \(\cos ^{-1}\left(\frac{2 \sqrt{2}}{3}\right)\), then value of \(\lambda\) is