Three Dimensional Geometry: JEE Main 2023 Mathematics question

Let the plane $x+3 y-2 z+6=0$ meet the co-ordinate axes at the points A, B, C. If the orthocenter of the triangle $\mathrm{ABC}$ is $\left(\alpha, \beta, \frac{6}{7}\right)$, then $98(\alpha+\beta)^{2}$ is equal to ___________.