I'm pretty sure the Blacks who built their neighborhoods in Watts, in Tulsa(before the massacre white people inflicted on them) in Harlem and throughout the South would take issue with that.
What the hell do you think Black people did when they were barred from white neighborhoods? They built their own, for god's sakes. And the neighborhoods they built were usually fairly prosperous until "redlining"(a government policy which barred insurance coverage and credit to business in Black, Brown and working-class white neighborhoods was imposed in 1938) and choked the economies of those neighborhoods to death.
How do you know this "Karen" even lived in this gated community? She had trouble letting herself out through the gate, so she probably didn't.