Private Showing of Fate and Friendship

A man buys a ticket to see a movie, which is a sequel to another he and his friends have seen in the past. He gives his ticket to one of his friends, then leaves, but clues he has left behind leads Conan to believe that he has more on his mind. He plans to commit suicide, and plans frame his friend for it afterward. Will Conan be able to prevent his plan before he follows through with it?