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You basically can't do what you are asking about. The action you suggest requires a court petition and a court hearing, and that judge would have to make a ruling that allowing you to get out of your child support obligations is in the "best interests of the child". Note, it is the best interests of the child, and not your best interests, that the courts must protect and care about. And removing a possible source of financial support is not in the child's best interest.
Sorry to be the bearer of bad news. But the law doesn't always let you do what you want.
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