Looking at the pictures you have provided I can't seem to find R12 like on @blaisebarrette's. So there is no "easy" fix for you, but you could do the same as I did to solve it. I have found out that with my potato fingers I cut some slices of Kapton tape and "isolated" pin 13 before soldering to it. I tried to do it freehand without tape at first, and just some marker on the pins that were not 13, and that made a giant mess. If you have some Kapton, use that, if not, order a roll off the web, or ask some friends/local shops if they have some scraps for you. you only need 4 small pieces, so it's not a lot, but it does help with soldering the correct pin. Use a toothpick or a plastic spudger to help make sure the tape is properly applied to the pins so solder shouldn't leak/bleed over on the wrong ones.
Hope that helps.
Or get the two breakout boards, solder pin 13 on each (either with a cable or pins to add a cable) and done.