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Having been a scorekeeper for many years, this looks like a forgotten change of the arrow. The OP states team A got the ball to start the third quarter. Assuming no held balls during the third quarter, the arrow should have team B possession. Upon conferring at the end of the quarter, it's discovered that the arrow wasn't changed at the beginning of the quarter, therefore giving B the possession arrow. It happens.
(Agree that you can't have a held ball after the buzzer.)
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