Surgery.
Undo the seams attaching the short brown strip and the white piece, and go a couple inches more at each end (vertically).
Redo that whole section (new embroidered white piece attached to new brown strip - remember to calculate the original sizes with seam allowances).
Then reinsert the new section by first sewing the top and bottom seams. Press those seams. And now do the vertical ones. Press.
There won't even be a scar.
Just work slowly, think about your next move, watch where you're sewing, and I guarantee you that the patient will recover.
Welcome to this specialized branch of surgery. ;-)