Let $A$ and $B$ be two $3 \times 3$ real matrices such that $\left(A^2-B^2\right)$ is invertible matrix. If $A^5=B^5$ and $A^3 B^2=A^2 B^3$, then the value of the determinant of the matrix $\mathrm{A}^3+\mathrm{B}^3$ is equal to :
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