Not a correctable error
I like to think of this as an error that we can correct. Correctable errors are errors by the officials that have certain time parameters for corrections. This is a record keeping error, the officials made no mistakes.
Therefore, you were well within your right to correct this at the end of the game and thus avoid overtime. As a matter of fact, you still should have corrected the score so that the end result was 68-65 officially.
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