Three Dimensional Geometry: JEE Main 2023 Mathematics question

Let the image of the point $\mathrm{P}(1,2,3)$ in the plane $2 x-y+z=9$ be $\mathrm{Q}$. If the coordinates of the point $\mathrm{R}$ are $(6,10,7)$, then the square of the area of the triangle $\mathrm{PQR}$ is _____________.