Playing Matchmaker in Another World: Can I Save the World with Cupid’s Arrow?

Synopsis

“Hello. I’m sorry to say this, but at the moment I’m not your brother. My mind, at least, isn’t. For some reason, which I myself do not understand, I seem to have entered this body’s mind and I have gained the ability to use it when your brother is not conscious. I have no idea how this happened, however, my mind is that of a human and I have no desire to harm this man. If you know of any possible methods, by which my mind could be transferred to another body, perhaps to someone who has been sentenced to death through your legal system, I would be more than willing to cooperate.”