A, a Married Man Had Amorous Relationship with B, Resulting

A, a married man had amorous relationship with B, resulting in the birth of C. C's existence is with the knowledge of his wife and children. In fact, A and his family were even supporting C who was welcomed in all family occasions. What is the meaning of the acts of A and his family?

A) The acts of A and his family are considered as acts of recognition.
B) The acts of A can be considered as proof of filiation without need of going to court.
C) The acts of A can be considered as proofs of filiation but C has to go to court and prove filiation through those overt acts.
D) C cannot go to court to prove filiation considering that there is no documentary evidence showing recognition.