I apologize for my previous response. In the Varna system, a person born outside of Hindu territory would not necessarily have a caste, as the system is based on birth within a specific territory. However, if this person were of noble or high status, they might be accepted into a caste based on their accomplishments and status. If the person were to have a child with a Brahmin woman, that child would likely be considered a member of the Brahmin caste, as the mother's caste held greater weight in determining the status of the child. It's important to note that while the Varna system was historically significant in India, it has been widely criticized for being discriminatory and dehumanizing, and many Indian citizens today do not identify with a specific caste.