Let $A$ be a point on the line $\vec{r}=(1-3 \mu) \hat{i}+(\mu-1) \hat{j}+(2+5 \mu) \hat{k}$ and $B(3,2,6)$ be a point in the space. Then the value of $\mu$ for which the vector $\overline{A B}$ is parallel to the plane $x-4 y+3 z=1$ is :
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