I'm a Poor Prince, What's Wrong with the School Beauty Being a Miracle Doctor?

Double penetration + double strength + reincarnation memory + Machiavellian battle of wits + dimensionality reduction strike + single female protagonist A modern academic master traveled through time and became an unlucky prince, but he was attacked by an evil slave at the beginning. It doesn't matter, physical traps, chemical poisoning, psychological games... You play house fighting, I play dimension reduction attack! There is also an all-around school beauty who is proficient in medical skills and political tactics. The two strong forces join forces, crushing their IQs, and counterattacking all the way. It's definitely fun!