Short answer
Free throws administered to complete the first half belong to that period even if the game clock already reads zero. The horn alone does not turn them into second-half points. Check the official play-by-play period and the reason the throws were awarded; an intermission technical or a different market-specific rule needs separate treatment.
NCAA interpretation of period-ending free throws; check the current competition rules
What to check
Find an official example and period attribution before stating whether a named first-half bet counts it.
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