If it is "deductions" that are reducing your taxable income, then you are NOT filing a 1040EZ. Perhaps your "Total income" line and your AGI are the same, but it is "total income" they are looking at. With a taxable income of zero, you'll need a minimum of 3 times the full income requirement in "liquid assets" to overcome the issue.
Your primary residence equity is not going to be considered liquid. Is this a one time tax situation that won't be repeated in 2024. The totality of the circumstances is what will carry the day, or not. Without further details, I cannot advise with confidence.