> That's exactly how discrimination works.

Discrimination means treating things differently because they're different. You seem to be assuming that all discrimination is bad; but the "bad discrimination" is discriminating based on irrelevant differences.

> Stereotypes reinforce themselves through the ways we treat people.

Whatever; I don't understand the sentence. Perhaps I should have studied sociology! But a "stereotype" is like a cardboard cutout; it's a super-simplified (ands therefore false) representation of a difference. I don't know what stereotypes have to do with discrimination, unless somehow we're suddenly talking about racial discrimination, or gender discrimination, or some other unjustified discrimination.

People are individuals, not averages of everyone. To assume someone is a statistical extrapolation of other people is stereotyping, regardless of how frequently it is correct.