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If the equation of plane passing through the mirror image of a point $(2, 3, 1)$ with respect to line $\frac{x + 1}{2} = \frac{y - 3}{1} = \frac{x + 2}{-1}$ and containing the line $\frac{x - 2}{3} = \frac{1 - y}{2} = \frac{z + 1}{1}$ is $\alpha x + \beta y + \gamma z = 24$ then $\alpha + \beta + \gamma$ is equal to:
(1) $20$
(2) $19$
(3) $18$
(4) $21$
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