A team has 30 seconds to get a shot off. Since neither team had control of the ball (TC ends on the shot attempt) the shot clock should not start until a team gains control of the rebound. So your partners were correct. To force a team to start with less than 30 seconds is a distinct disadvantage...had team A grabbed the rebound and then had it slapped oob by the defender, you might have 29 on the shot clock then.
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