Based on the personality traits you've described—rude, talkative, mean, smart, sassy, nosy, confrontational, confident, assertive, stubborn, sarcastic, opinionated, and occasionally melancholy—a few anime "dere" types come to mind.
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Tsundere: This type often starts off abrasive or rude, particularly towards someone they have romantic feelings for. The "tsun" (冷たい) part represents their cold or harsh demeanor, while the "dere" (デレ) part shows their softer side that emerges later. Your description of someone who talks back and can be confrontational fits well here.
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Yangire: This character type can be friendly and cheerful but has a darker, more violent side when provoked. Their sharp and sometimes mean attitude aligns with your traits of being rude and confrontational.
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Dandere: While typically used to describe shy characters who take a long time to open up, some dandere may also exhibit a sarcastic, blunt side when under stress or pushed. They may not fit entirely with "mean," but they can be sassy and opinionated.
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Gairu (Gyaru): This type often embodies confidence and assertiveness and can be quite cheeky or sassy. They're typically fashionable and outgoing but can sometimes show a more serious or melancholic side.
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Bully/Villainess Type: Some characters fit the archetype of being mean and rude, embodying the "queen bee" persona. They can show intelligence and confidence but often clash with the protagonist.
Overall, the tsundere might be the closest match, as it encapsulates the combination of rudeness and underlying emotional complexity. However, certain aspects of yangire or other archetypes might also resonate depending on the context of the character's interactions.