Let \( \omega \neq 1 \) be a complex cube root of unity. If \( \lef...

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Let \( \omega \neq 1 \) be a complex cube root of unity.
If \( \left(3-3 \omega+2 \omega^{2}\right)^{4 n+3}+\left(2+3 \omega-3 \omega^{2}\right)^{4 n+3} \)
P \( +\left(-3+2 \omega+3 \omega^{2}\right)^{4 n+3}=0 \), then possible value(s) of \( n \) is

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