Let $A$ and $B$ be two square matrices of order 3 such that $|A|=3$ and $|B|=2$. Then $\left|A^T A(\operatorname{adj}(2 A))^{-1}(\operatorname{adj}(4 B))(\operatorname{adj}(A B))^{-1} A A^T\right|$ is equal to.i
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