Help me find this yoai manga please

So the story goes like the (BMC) bottom main character works in a brothel and the TMC ( top main character )is the son of one a rich man who is a regular the costumers of that brothel TMC father bring him to the brothel for his birthday and he had his night with the BMC now the TMC got intrested in the BMC but the father is a bitch and make the TMC see his love interest sleeping with his own father and he find out that BMC first costumer was his own father In the end they get him out but he got stuck in another rich people private brothel the father dies in the end while saving his son and the son find out that he is not his real father TMC mother was kidnapped by his father's cousin and S*xual assaulted her and that made her concive the TMC but the father said something like "you are her son , that's make you my son too" it has happy ending but the TMC and BMC living together happily. ( Sorry for this long ass essay but I have forgotten its name because my account decided to get deleted on its own and now I am trying to recover all my favourite manga but can't remember this one's name) .