Matrices And Determinants

If \(A\) is a square matrix of order 3 such that \(\operatorname{det}(A)=3\) and \(\operatorname{det}\left(\operatorname{adj}\left(-4 \operatorname{adj}\left(-3 \operatorname{adj}\left(3 \operatorname{adj}\left((2 \mathrm{~A})^{-1}\right)\right)\right)\right)\right)=2^{\mathrm{m}} 3^{\mathrm{n}}\), then \(\mathrm{m}+2 \mathrm{n}\) is equal to :