Rat repair.

[Vic1947]

This is sort of a tester. Obviously, there's no way to tweak the hinge other than very slightly. Faced with this much offset, what comes to mind is to slice the hinge and carefully weld in a spacer. It needs to be kept perpendicular to the face of the filler cover so as to not offset it in the hole. Being anal retentive with a dash of OCD, I'd probably make a little fixture to bolt to the mounting plate to offset it the exact amount and keep the hinge aligned in 3D space.

Attached photo shows a suggestion of where to make the horizontal cut. Then add the material you need to space the cover out, either to the cover or to the hinge. Then weld the two pieces together using the fixture if you so desire. This is just how I'd approach it given the structural constraints. Word of caution, stop often and keep the parts cool. I didn't see a way to comfortably remove the spring. Overheating could cause it to relax and not close the door solidly.

Hopefully someone who has actually solved this problem will weigh in with a "how-to".