Moving seats obviously doesn't address the economic inequalities. That's why nobody (except maybe some conservatives arguing in bad faith) has ever proposed it.
In any case, we are all beneficiaries or victims of the past. Children don't start from equal positions. "average per capita wealth of White Americans was $338,093 in 2019 but only $60,126 for Black Americans" https://www.minneapolisfed.org/article/2022/how-the-racial-w...
As stated by the linked article, this is actually a vast improvement from 150 years ago. But let's not pretend that the existence of the racial gap wasn't the result of historical factors. Arguing that we're all equal now would just be sticking one's head in the sand and pretending that history didn't exist.
What addresses the problems of a single parent household then? Let's hear your solutions.