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Education is not analogous to eugenics.
I agree.
Incentivising sterilisation is literally eugenics.
Any policy can disproportionately affect the birth rate of one group vs another. Is improving abortion access eugenics? Is incentivizing having children via the tax code eugenics because those incentives are stronger for some groups compared to others? Is for-profit healthcare eugenics because it makes it more difficult for poor folks to safely have children? Are fossil fuels eugenics because they lead to higher infant mortality in poorer industrial areas?
No, none of those things are eugenics
If you can’t see the difference between these things then I can’t help you.