The Peerless Disgraced Crown Prince

I wake up in the bed of a brothel's most famous courtesan, only to discover I've transmigrated into a worthless crown prince who's about to be beheaded... Watch me turn the tide and crush everything in my path! What? The greatest beauty and talent in the realm challenges me to a poetry contest? You must be hoping to become my concubine and warm my bed! What? The other princes covet the crown prince's position? I'll beat every last one of them until they hit the dirt! What? Bandits are rebelling? Tell their female leader to wait for me in bed... What? The enemy nation is invading? Heh, I happen to want to try out the new Gatling gun I've developed. It'll deal with anyone who refuses to obey! Heroes bow at my feet, and every nation comes to pay homage. I claim this realm for myself!