For AAS, the congruent side must not be between the two congruent angles.

The given side $\overline{KL} \cong \overline{OP}$ together with $\angle L \cong \angle P$ needs a second angle that keeps $\overline{KL}$ non-included. Choosing $\angle J \cong \angle N$ (with $J \leftrightarrow N$) makes $\overline{KL}$ a non-included side, satisfying AAS.