  In the compact setting, Aazami and Ream \cite{Aazami:2022th} proved that
Riemannian metrics dual to a class of Lorentzian metrics, called (compact)
general plane-fronted waves, are almost-K\"ahler. In this note, we explain how
to construct extremal and second-Chern-Einstein non-K\"ahler almost-K\"ahler
metrics dual to those general plane-fronted waves.
