> I understand there is empirical data showing how race is correlated with zip code, but you still choose your zipcode at the end of the day.

Unless you live in a city that was redlined[1], which is to say, unless you live in virtually any city. In which case, you really did not and in many cases still do not actually have much of a choice where you live. And that's without even looking at the fact that the racial wealth gap means that even if there weren't still strong barriers to integrated neighborhoods, lots of members of groups that were and are discriminated against would be unable to move into the neighborhoods that would theoretically let them escape that zip code bias.

[1]: https://www.chicagomag.com/city-life/August-2017/How-Redlini...