Does the fast of a young man who masturbated during the daytime in Ramadan, and nothing was discharged at that moment, then after a period noticed semen coming out with urine, become invalidated, and does he have to make up that day?

What you did by masturbating is a forbidden act, and you must repent to Allah. It is apparent that the emission of semen a quarter of an hour later was due to it. Therefore, your fast has been invalidated, and you are obligated to make up for it.