Albedo of the full moon is about 0.7. That’s a pretty efficient reflector, shining down sunlight on you at night.

Provided by Selene, the moon goddess.

You should be able to walk about with much less than that.

Go somewhere covered in snow, and it’s almost too bright.

I prefer moonless nights, and dark skies, so I can see the stars in their glory.

Let your eyes adapt and deliver what they can, you might be surprised how good they are, when not dazzled by unnecessary over-powered artificial light sources, or the city miasma.