[condercet]

The conclusion of the study you linked seems to paint a slightly more complicated picture:

"We found evidence that between-district racial segregation is associated with racial disparities in school district spending, while between-district racial socioeconomic segregation is not. We find that as Black–White racial segregation increases over time, total per pupil expenditures and other per pupil expenditures shift in ways that disfavor the typical Black student’s district relative to the typical White student’s district."