It seems like the way to solve it is at the societal level, by policies that favor those with fewer resources (e.g. progressive taxation, social safety net programs, etc.).
I'm not sure places like harvard want rich families to not be able to game the system, in some ways I think that's why they exist. I think rather it's closer to how pay-to-win mechanics work in games, if people can realistically earn what was paid for many will confuse their spending for skill, if it can only realistically be achieved via payment then it becomes a thing to mock because the only way it translates to success was by opening the wallet and there is no skill to be praised. By making an ambigious merit based system that can also be gamed by the wealthy it makes the wealthy seem they are entering due to merit rather than wealth, thus making it praisworthy while also meeting the needs of the wealthy, and in many ways I think that's the real point of most colleges.
I don’t know how to characterize this as anything other than a racial bias against Asian American applicants [2]. This is old hat for Harvard, which previously used antisemitic quotas to keep Jewish students out of the school [3]. This gives a lot of weight to the argument that you can’t solve racism by putting your thumb on the other side of the scales. That all discrimination on the basis of race is wrong, regardless of who you’re trying to help.
[1] https://en.wikipedia.org/wiki/Students_for_Fair_Admissions_v...
[2] https://archive.is/2023.06.29-203214/https://www.nytimes.com...
[3] https://www.timesofisrael.com/harvards-jewish-quotas-cited-i...
The answer is that admission standards need to be changed to focus on the human qualities that schools are seeking in a way that is race-blind and does not give rich families a way to game the system. Doing so will be difficult, and there may be a few years of adjustment before they get it right, but it will get sorted out.