How to remove nitrose gasses from ozone gas mixture?
There is no need to use caustic since $\ce{NO2}$ reacts with water itself. As per [1] it is even better absorbed in water than in $\ce{NaOH}$. 

Ozone is soluble in water depending on the concentration of $\ce{O3}$ in the gas phase. It is much more soluble than oxygen so you will loose some, but it will have much lower concentration of $\ce{NO2}$. Of course, the washed ozone will be moist. If you need it dry, you can use a column of molecular sieves or some other desiccant. 

[1] Absorption of Nitrogen Dioxide by Aqueous Solutions,
F. S. Chambers Jr., T. K. Sherwood,
Ind. Eng. Chem., 1937, 29 (12), pp 1415–1422