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If $\log _{64} x^{2}+\log _{8} \sqrt{y}+3 \log _{512}(\sqrt{y} z)=4$, where $x, y$ and $z$ are positive real numbers, then the minimum possible value of $(x+y+z)$ is

  1. $48$
  2. $36$
  3. $24$
  4. $96$

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