3d Geometry

Let the line \(L: \frac{x-1}{2}=\frac{y+1}{-1}=\frac{z-3}{1}\) intersect the plane \(2 x+y+3 z=16\) at the point
\(P\). Let the point \(Q\) be the foot of perpendicular from the point \(R(1,-1,-3)\) on the line \(L\). If \(\alpha\) is the area of triangle \(P Q R\), then \(\alpha^{2}\) is equal to __________.