Let \( P \) be a point on the hyperbola \( H:\dfrac{x^{2}}{9}-\dfrac{y^{2}}{4}=1 \), in the first quadrant such that the area of triangle formed by \( P \) and the two foci of \( H \) is \( 2\sqrt{13} \). Then, the square of the distance of \( P \) from the origin is:
