Let $P$ be the plane passing through the point $(1,2,3)$ and the line of intersection of the planes $\vec{r} \cdot(\hat{i}+\hat{j}+4 \hat{k})=16$ and $\vec{r} \cdot(-\hat{i}+\hat{j}+\hat{k})=6$. Then which of the following points does NOT lie on P?
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