Let | A |=6, where A is a 3 \times 3 matrix. If {| {\adj} ({\adj} ( A ^2 \cdot {\adj}(2 A)) ) |}=2^{ m } \cdot 3^{ n }, m , n \in N, then m + n is equal to \_\_\_\_ . [23 Jan 2026 Shift 1]

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