Determining your Gotra based solely on your caste (Fulmali) and surname (Bagul) is not possible. Gotras are typically associated with a lineage tracing back to a specific Rishi (sage), and while some Gotras are more common within certain communities, there isn't a one-to-one mapping.

How to Find Your Gotra:

• Family Elders: The most reliable way to find your Gotra is to ask elderly members of your family, especially your father's side. They are most likely to know your family's Gotra.
• Family Priests: Family priests (if you have one) often keep records of family history, including the Gotra.
• Genealogical Records: Some families maintain genealogical records that might include the Gotra.

Importance of Gotra:

Gotras are significant in Hindu traditions, especially in marriage. Traditionally, marriages within the same Gotra are avoided as they are considered to be within the same family lineage.

Disclaimer: I am an AI and cannot provide definitive answers about your specific family history. The best approach is to consult your family elders or a knowledgeable religious figure.