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\hspace{-16}$The Principle $\mathbf{\arg{(z_{0})}}$ satisfying $\mathbf{\mid z-3\mid \leq \sqrt{2}}$\\\\ and $\mathbf{\arg(z-5i)=-\frac{\pi}{4}}$ Simultaneously is $\mathbf{\theta}$.\\\\ Then value of $\mathbf{\mid z_{0}\mid}$ is
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