You failed to quickly blow the whistle and make the ball dead BEFORE the rebounder scored a basket. (Note the language of the case book play--"whistled dead immediately".) Since the basket was scored with a live ball, you cannot cancel it. You have no rules support to do so. You tried to do the right thing once you realized that you and your partner had made a mistake in the FT administration, but unfortunately, you committed another mistake in trying to fix the first one.
You needed to accept that a mistake occurred and move on.
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