The far side is the darker side, though, at lunar night. Poetic proof: "The Earth shine might illuminate the light side of the Moon a little during the long night" (from Jules Verne, All Around the Moon https://www.gutenberg.org/cache/epub/16457/pg16457-images.ht...)
The far side is darker during lunar night (lit by starshine only; Full Moon on Earth) than the near side during lunar night (New Moon on Earth), because it receives both star- and max. Earthshine.
I'm not sure about Crescent Moon though: that only narrows the brightness gap slightly, right? Or I’ll have to ask if there’s an astronomer on board our flight.