I Was Reincarnated as a Villainous Noble Who Gets Killed Midway Through the Story but It Looks Like I’ll Be Executed as a Traitor if I Try to Do Good Deeds

The Protagonist at the Front Gate, the Family at the Back Gate
One day, the protagonist is reincarnated as Rex, a villainous noble. In the original story, he was a character who would eventually be killed. To avoid this fatal future, he plans to do good deeds, but Rex’s family is a group that kills traitors. In other words, siding with justice is difficult. Caught in this dilemma, Rex continues to struggle.