Let A be a non-singular matrix of order 3. If $\operatorname{det}(3 \operatorname{adj}(2 \operatorname{adj}((\operatorname{det} A) A)))=3^{-13} \cdot 2^{-10}$ and det $(3 \operatorname{adj}(2 A))=2^m \cdot 3^n$, then |3 m+2n| is equal to
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