The first logician would answer “no” to the question if they didn’t want a beer (because they know they don’t want a beer, so therefore everybody does not want

The first logician would answer “no” to the question if they didn’t want a beer (because they know they don’t want a beer, so therefore everybody does not want a beer). Same with the second. Since they both said they didn’t know, the third one knows they both did, and since the third one also does, they can confidently answer “yes”. Thereby proving I am not chatgpt.