The game you are referring to is one in which you presuppose dividing people into ‘teams’.
I.e. you are simply assuming that racism is forever and that the only fairness comes dividing people by race and then balancing resources according to racial groups.
This is just more racism. It’s not the only solution.
We don’t have to ignore the effects of racism. There is nothing wrong with looking at the kinds of disadvantage it has produced and then acting to support those who are impacted.
However if we apply that support through racialized policies, we will never solve the problem.
For example, we can see that black people historically are disproportionately impacted by policies that have prevented wealth building, such as redlining. Of course so have groups of low class white people been denied access to assets, just to a lesser extent.
A racist solution would be to give advantages to black people.
A non-racist solution is to support anyone who has been less advantaged in wealth building.
This will still disproportionately benefit black people but will be self-balancing and won’t perpetuate racism or permanently embed it into our political and legal systems.