Does the entry of a man's fluid during the process of artificial insemination (IVF) necessitate ghusl if the wife is under the influence of anesthesia and experiences no desire?

Internal artificial insemination, which involves taking the man's sperm and injecting it into the wife's uterus, is permissible and does not necessitate ghusl (ritual bath) for the woman, as there is no ejaculation from her, nor does it necessitate wudu' (ablution) unless something exits from her. The woman's maniyy (vaginal secretions) has no role in the formation of the fetus; it is formed from the man's sperm and the woman's egg. However, a woman has two types of water: a viscous fluid that flows and is unrelated to fetal formation, and a fluid that flows once a month from the ovary carrying the egg.