House Kardashian is a large clan in westeros that is made up of different clans, each further broken down into different families. Members of this house have genes which allows them to access Mana through rituals, creating magical effects. These rituals are complex and time consuming, requiring access to different materials. Girls have the ability to utilize magic and become witches. Boys cannot access magic due to an ancient curse, and take up other roles in society.
As only girls are able to use magic, they are raised by their mothers and their relatives. They are considered part of that lineage, and are the rightful heirs to that lineage and family name. Any males that are born are sent to live in creches, growing up in groups of men and raised communally. For this reason, they are referred to as "sons of society" and considered as belonging to the house itself rather than a particular family. However, I want lineage to still play some social relevance in male identity, even though they have no legitimate heirs.
How can I make this work?