Like you said, it’s a HTBT situation. However, the thing to remember is in order for a dribble to happen, the ball has to be controlled. In the original situation, you would pretty much have to judge if the knocking the ball to the floor was an attempt to gain control or if it was a purposeful bat/push to the floor. You see this sort of action a lot in lower level ball. If it was an attempt to gain control, then that wasn’t a dribble.
In variation 1 you said A2 controls the ball with one hand. That would be a dribble.
In variation 2 it is more than likely not yet a dribble.
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