 can be rewritten as $$\label{00)}  {\mathbb{E}}\left({\rm {\mathcal L}}\left(Z_{R_{j} } \left(\pi '_{S} \right)\right)-\left. {\rm {\mathcal L}}\left(Z_{R_{j} } \left(\pi _{S} \right)\right)\right|Z_{R_{j} } \left(\pi _{S} \right)\right)\le -\varepsilon ,$$ where $\varepsilon 