Three Dimensional Geometry: JEE Main 2023 Mathematics question

If the foot of the perpendicular drawn from (1, 9, 7) to the line passing through the point (3, 2, 1) and parallel to the planes $x+2y+z=0$ and $3y-z=3$ is ($\alpha,\beta,\gamma$), then $\alpha+\beta+\gamma$ is equal to :