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The stimulus checks do not have any impact on your Adjusted Gross Income.  

They are only used to calculate the amount of any Recovery Rebate Credit you could be entitled to if you did not receive the full amount of either of the first two stimulus payments.

Recovery Rebate Credit eligibility

If you are entitled to this credit, you would see if show up on Form 1040, page 2, line 30.  This credit would only show up if you did not receive all or part of the stimulus payments you were entitled to.