A stolen heir, a stolen mech

Sylvia, the Hale family's real daughter, grew up in the slums and awakened a rare SSS-rank mecha psychic gift. Returning home, she's framed by adopted sister Vivian, who copies minds. Reborn, Sylvia enters the Federation Mecha Tournament, exposes Vivian's cheating, rejects her family's apologies, and starts fresh at the top mecha research institute.