I have no other suggestions beyond the ones already given. I just wanted to add a word...or two.., We all have been there with mistakes, big ones and little ones, so we sympathize with you on this dilly of a mistake. You'll feel a lot better if you fix it the right way and only you can decide which way to do it. IMHO, that's not the easy way. I think you will just have to take that mistake out and flip it, or take it out and replace it with a new one, if you have more ties.
Remember that you have friends here who wish you well and know you can fix it!! Just grab a cup of tea or coffee, take a short walk and start working on it! Keep us posted on your progress and show us some photos!