Here's an analysis of each fact regarding its contribution to the development of the cultural setting:
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The language the character speaks: Yes, this can significantly contribute to the cultural setting. Language is a key component of culture and can indicate the character's background, identity, and the society they belong to. It can also reflect the historical and social context of the setting.
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The color of the character's hair: This is less likely to contribute directly to the cultural setting. While hair color may have symbolic meanings in certain cultures or may reflect aspects of the character's ethnicity, on its own it does not provide substantial insight into the cultural environment in which the character exists.
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The things the character cooks: Yes, this can definitely contribute to the cultural setting. Food is a vital aspect of culture, reflecting traditions, regional influences, and social practices. What a character cooks can reveal much about their cultural identity and the customs of their community.
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The character's names for her parents: Yes, this can also contribute to the cultural setting. Different cultures have unique terms of endearment or specific names for parents (such as "Mama," "Baba," or "Mom" and "Dad"), which can reflect cultural norms, values, and familial structures.
In summary, the language spoken, the things cooked, and the names for parents all contribute to the cultural setting, while the color of the character's hair does so to a much lesser extent.