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Let $a, b, c \in \mathbb{R}$ be all non-zero and satisfy $a^3 + b^3 + c^3 = 2$. If the matrix $A = \begin{pmatrix} a & b & c \ b & c & a \ c & a & b \end{pmatrix}$ satisfies $A^T A = I$, then a value of $abc$ can be:
(1) $-\dfrac{1}{3}$
(2) $\dfrac{1}{3}$
(3) $3$
(4) $\dfrac{2}{3}$
BETA
