Three Dimensional Geometry: JEE Main 2022 Mathematics question

Let $Q$ be the foot of perpendicular drawn from the point $P(1,2,3)$ to the plane $x+2 y+z=14$. If $R$ is a point on the plane such that $\angle P R Q=60^{\circ}$, then the area of $\triangle P Q R$ is equal to :