YOu know, I try to think things through completely but there’s always something a person can miss, no matter how long you look at something. That’s why there is wisdom in much counsel. Which is also why I always try to show my work, in the hopes that if I made a mistake somebody will point it out. That worked in this case, and I’m glad for that.
It makes everybody very hesitant to say anything, though, because somebody else may be able to see things you didn’t, which makes you look stupid afterwards for not having seen it. It’s the risk anybody takes when they speak out.
I like you so much. I would do the same. Nothing risked, no mistakes ever made. Admitting mistakes makes you a (Jewish talk) MENSCH. A good genuine person. Keep cracking.
Keep doing what you do best and that's research! Don't let some of the old constipated farts here give you a hard time.Many of us are with you.