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Yes and I don’t think you pointing out the truth of this stereotype is unwarranted here. But her pointing it out in the first place was. Replace this with another accurate stereotype about another race. Let’s say there’s a city in which a certain race, per capita, commits crimes more than another. Does that warrant someone saying, “So I got mugged, and of course it was a black guy!”
This type of stereotyping is clearly spiteful, ignores greater understanding about the social situation, and perpetuates the untrue idea most people conflate with these stereotypes: Every member of the race is like this. This is even internalized by members of the race in question, perpetuating the greater social issue itself.