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Question Id : 13478 | Context : JEE Main 2023 (13 April Evening Shift)
Let $S=\{\,z\in\mathbb{C}:\ \overline{z}=i\big(z^2+\operatorname{Re}(\overline{z})\big)\,\}$. Then $\displaystyle \sum_{z\in S}|z|^2$ is equal to:

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