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Wiktionary
bigender

a. 1 Having two gender simultaneously, e.g. both male ''and'' female. 2 Having a tendency to move between feminine and masculine gender-typed behaviour depending on context.

Wikipedia
Bigender

Bigender, bi-gender or dual gender is a gender identity that includes any two gender identities and behaviors, possibly depending on context. Some bigender individuals express two distinct "female" and "male" personas, feminine and masculine respectively; others find that they identify as two genders simultaneously. It is recognized by the American Psychological Association (APA) as a subset of the transgender group. A 1999 survey conducted by the San Francisco Department of Public Health observed that, among the transgender community, less than 3% of those who were assigned male at birth and less than 8% of those who were assigned female at birth identified as bigender.