That Time my Doppleganger went to a Gay Bathhouse

Back in the 80s I had a leather jacket that had been hand-painted by a friend's brother.  This jacket was one-of-a-kind. I am the only person who had a jacket like this. This is important. 

The friend whose brother had painted my jacket was named Mike. Because Mike's brother had painted the jacket, Mike was very familiar with the artwork on the back. One day Mike asked me "Why were you at the bathhouse last night?"

Not only was I not at the bathhouse the night before, I hadn't even been in the same town as the bathhouse the night before. I was 90 miles away. I told Mike this and he said "No, I saw you. I was in the pool and I saw you at the far end, standing at the edge of the pool talking to someone. You were wearing your lace dress and your leather jacket. I jumped out of the pool and ran to the other end but by the time I got there, you were gone."

Nothing I could say would convince him I wasn't there. And he was so familiar with that jacket that he would not have mistaken another for it. So, what can I say? My doppleganger was out that night having way more fun than I was.