If the zaani (fornicator) admits to paternity of his illegitimate child, should the child be attributed to him?

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Check below answers in case you are looking for other related questions:
An illegitimate daughter is asking, Whose daughter am I?
He does not pray and he lives with his girlfriend; he wants to repent and marry her

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Related Answers:
He does not pray and they are afraid that he is working as a pimp
Abrogation of the verse ordering the confinement of an adulteress in a house
A book which includes lies against the Prophet (peace and blessings of Allaah be upon him) concerning the ruling on zina
An illegitimate daughter is asking, Whose daughter am I?
He does not pray and he lives with his girlfriend; he wants to repent and marry her

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