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FED 2.10.1E Officials may correct an error if a rule is inadvertantly set aside and results in: Erroneously counting or cancelling a score.
2.10.2 In order to correct any errors such error must be recognized by an official during the first dead ball after the clock has properly started.
Using these two rules. The error seems indeed clearly correctable. The halftime is simply an "extended" dead ball period.
If the question of officials jurisdiction is raised when they leave the court, 2-2 relates nothing about leaving the court during halftime. In fact 2.2.3 relays that "the officials jurisdiction extends through periods that are stopped for any reason."
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