I'm in a Fix
I had the same thing happen to me some years ago. I would do like the majority have stated and cut the surface off and re-do it. Only one difference, use another more reliable hinge such as robart hinge points. Two reasons: 1) they do not require as much space on the hinge line, remember you already have ca hinges in-place so any new hinge will need to be placed between the old hinges. 2) they generally have a longer life and since you have to do the work anyway.
Mike