Let A ={z ∈ C:|z-2-i|=3}, B ={z ∈ C: Re (z-i z)=2} and S = A ∩ B. Then Σ_z ∈ S|z|^2 is equal to ____

Let $\displaystyle \mathrm{A}=\{z \in \mathbb{C}:|z-2-i|=3\}, \mathrm{B}=\{z \in \mathbb{C}: \operatorname{Re}(z-i z)=2\}$ and $\displaystyle \mathrm{S}=\mathrm{A} \cap \mathrm{B}$. Then $\displaystyle \sum_{z \in S}|z|^2$ is equal to $\displaystyle \_\_\_\_$