If it were mine, I'd run 2 or 3 beads inside the door to draw it back down. You can grind them down or just leave them since they won't show from the outside unless the door is open. This method works pretty good for drawing metal back that has warped due to welding on one side.
When the bead cool it shrinks.
I am thinking the bead would run from top to bottom. Or does it matter?
Thanks for your "wisdom" and I am sure this come from..."experience".