Well, I have to think about the method I suggest to you, you see? What works for this photo might not work for another photo.
So, could you show me one or two other close-ups of the problem as well?
This should work:
Download PSD file
Add the Channel Mixer layer first. Then go back and make the Levels layer below it, invert its mask, and paint on gently until the darkness is gone.
This is well short of the 1/3rd free space that Brian recommends, but it's not dangerously small either, particularly since you restart regularly. I see no particular problem here.
Bingo!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
It must be on Bicubic (best for smooth gradients).