Does the adopted son have a right to the house that the woman registered in his name before her death, or does it belong to the sons of her full brother?

Adoption is forbidden in Islam, and its Sharia rulings, such as inheritance and forbidden degrees of relationship (mahramiyyah), do not apply to it. If the house was seized and possessed before the death of the donor, then this is considered a gift (hiba), and the adopted person owns the house, and the sons of her brother have no right to it. However, if the house was not seized, then he has no right to it, because a gift is not owned except by seizure (qabd).