3d Geometry

The line of shortest distance between the lines \(\frac{x-2}{0}=\frac{y-1}{1}=\frac{z}{1}\) and \(\frac{x-3}{2}=\frac{y-5}{2}=\frac{z-1}{1}\) makes an angle of \(\cos ^{-1}\left(\sqrt{\frac{2}{27}}\right)\) with the plane \(\mathrm{P}: \mathrm{a} x-y-z=0\), \((a>0)\). If the image of the point \((1,1,-5)\) in the plane \(P\) is \((\alpha, \beta, \gamma)\), then \(\alpha+\beta-\gamma\) is equal to _________________.