The title is misleading. There is no logic. Or luck. Only suffering. Everything is suffering.
The main character sacrifices his personality. But he had none to begin with. Worship without sacrifice is a deadly sin.
He’s the stereotypical mighty lead character who never loses. Not going to need any luck for that. He has the stereotypical imouto. With slight tsundere tendencies.
He meets a cute girl. Falls on top of her. Forced to live with her against his will.
What a novel anime. Full of excitement and twists.