Does the illegitimate child acknowledged by his deceased father inherit, knowing that the father has a legitimate daughter and that the son was disobedient to his father and left home?

The child of fornication does not inherit from his fornicator father, nor does the fornicator father inherit from his child, due to the Prophet's (peace and blessings be upon him) saying: "Any man who commits adultery with a free woman or a slave woman, the child is a child of fornication, he does not inherit nor is he inherited from." This is the practice among the people of knowledge. Fornication is a barrier to inheritance, and the child is attributed to his mother and her family. As for the fornicator man, his legal heirs inherit from him. If he has no one but his daughter, she inherits all his money, half as a prescribed share and the other half by return.