>>1022811To speak to the recent matter in the press, he's not not in line for the throne, he's just not a prince, because only the Queen's children, the Queen's grandchildren, and the children in the direct line of succession are princes.
Archie is not a prince, but will become one when the Queen dies. Archie's children will not be princes, for the same reason he wasn't. William's children are princes (and princesses) because he's the direct successor to the Queen, being the firstborn son of her firstborn son.