Let C₁ and C₂ are concentric circles of radius 1 and 8/3, respectively, having center at (3, 0) on the argand plane. If the complex number z satisfies the inequality ${\log }_{1/3}\left(\frac{|\mathrm{z}-3{|}^2+2}{11|\mathrm{z}-3|-2}\right)>1$, then