Let \( z=9+a i \), where \( i=\sqrt{-1} \) and \( a \) be non-zero ...

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Let \( z=9+a i \), where \( i=\sqrt{-1} \) and \( a \) be non-zero real.
\( \mathrm{P} \)
If \( \operatorname{Im}\left(z^{2}\right)=\operatorname{Im}\left(z^{3}\right) \), sum of the digits of \( a^{2} \) is
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