Let $A=\left[\begin{array}{ccc}2 & -1 & -1 \\ 1 & 0 & -1 \\ 1 & -1 & 0\end{array}\right]$ and $B=A-I$. If $\omega=\frac{\sqrt{3} i-1}{2}$, then the number of elements in the set $\{n \in\{1,2, \ldots, 100\}$ :
$\left.A^n+(\omega B)^n=A+B\right\}$ is equal to $\_\_\_\_$
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