Assuming, since it is you, WMB, NFHS (although the ASA ruling would be the same).
Live ball appeals must be a "proper" appeal. Accidental appeals are not recognized. Therefore, unless F3 did something to convince the umpire that she was making an appeal and not just picking up the ball, there is no appeal to rule on.
Once the runner has returned and touched the base, it is too late for an appeal.
My call agrees with your game umpire's call.
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Tom
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