State tax filing

So if my federal tax total/I owe $10,000 in taxes for 2024, and I have a $3,200 tax credit from solar installed in 2024, I will get the $3,200 back effectively as a refund when I file my 2024 taxes, even though I usually also receive a ~$100 refund (from overpayment) when I file? The fact that I've already paid my tax doesn't matter, I'll get the credit/refund for the $3,200 as long as my federal tax total that I owe is more than that?

 

I've been told that I have to adjust my withholdings to be able to get the tax credit from the solar installer (and turbo tax answers like this one: https://ttlc.intuit.com/community/after-you-file/discussion/full-solar-tax-cr[product key removed]ed...), but from this thread that doesn't appear to be correct.