@b r e a d ! I don't think so. Her father is brothers with Michael's father, so they're cousins. Michael is related to the princess from his mother's side iirc. I don't think tower master is related to the princess by blood, he just hates/looks down on the royal family. So prince is not related to the mc, because mc is not related to his mothe. Does it make sense?
sorry for wrong spelling my phone keyboard is dumb (it's not my fault i swear)