A score book error can be corrected any time until the officials leave the visual confines of the court.
If someone has their case book handy, there is just such a case. The score was tied, and before the jump to start the overtime, the scorer realized that team A had two more points. As long as the ball hadn't become live to start the overtime, the game ends with team A winning, and no overtime is played.
Of course, when that happens, the officials SPRINT off the court.
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