You don't need to send the worksheet at all, so don't fill it out. It's ok that your Illinois Form ICR shows that $250, because that shows up for everyone whether they claim a credit or not. And you don't need to send the Form ICR unless you are claiming the Property Tax Credit.
If you are e-filing, you don't have to send anything.
If you are mailing your return, mail your Form IL 1040 and your Form ICR (if you're claiming a credit) and your W-2s and any other tax form that shows state withholding.
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