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Sorry but no one wants to give you the bad news. Getting a negative rating for advising on the correct method (but unfortunate tax situation) is what happens to us.
Include most IRA and 401k withdrawals in your Modified Adjusted Gross Income when you are looking at ACA.
The bad news is that there is no relief for you. The distribution you made form your 401k increases your income and you have no relief.
I wish I could tell you differently. I really do but I could not leave you thinking no one wanted to answer your question.