Isekai/reincarnation/time regression

Suddenly thrust into her favorite mystery murder game, our protagonist embodies Arviche Green, a supporting character doomed to bite the dust. Compounding the chaos, she wakes up in the house of the prime suspect, Duke Leikas Learmond, as the in-house tutor to his niece and nephew! Convinced of the Duke's guilt, she juggles evading the main storyline while also uncovering the truth. With her virtual lives dwindling, can Arviche game her way out, or is a game-over fate sealed?