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"If an error is corrected, play shall be resumed from the point of interruption to rectify the error, unless it involves awarding a merited free throw(s) and there has been no change of team possession since the error was made, in which case play shall resume as after any free-throw attempt(s)." (NFHS 2-10-6)
Zoochy already pointed out that if you would not have a count, the ball is not at the team's disposal after a made basket. So you are still in the time frame to correct the error. Since the error is corrected, play is resumed from POI, which is the throw-in that follows A's basket. (Don't confused 2-10-6's use of "team possession", it is not the same thing as team control).
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"It is not enough to do your best; you must know what to do, and then do your best." - W. Edwards Deming
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