\textbf{139-} If $A = \begin{bmatrix} 1 & -1 & -3 \\ 4 & 1 & 2 \\ 2 & 1 & 3 \end{bmatrix}$ and matrix $X$ satisfies the matrix equation $X = \begin{bmatrix} 3 & 0 \\ -2 & 1 \end{bmatrix}$,
$$\begin{bmatrix} 2|A| & |A| \\ 1 & \dfrac{2}{|A|} \end{bmatrix} X = \begin{bmatrix} 3 & 0 \\ -2 & 1 \end{bmatrix}$$
holds. The smallest main diagonal entry of matrix $X$ is which?
\[
\text{(1)}\ -15 \qquad \text{(2)}\ -3 \qquad \text{(3)}\ 6 \qquad \text{(4)}\ 8
\]