I'd call a double-dribble.
I don't buy the "no force" stuff because that suggests A1 can just drop the ball, move and grab it, and repeat all over the court.
I'd explain it by saying that the initial dribble started when A1 initiated contact of an
unheld ball with the floor. After A1 again held the ball the initial dribble was ended. Then A1 initiated a second dribble.
I think the play is very similar to recovering a ball while on the floor, setting the ball down, getting up, then picking up the ball ("Walk"). Thus a "walk" could be called, but that seems more difficult to explain.
I'm not convinced this is an "interrupted dribble" because the ball did not inadvertantly escape control by A1. This is an intentional act and unless a defender touches the ball, I think it is still within player control.
I also expect to learn a couple of things on this one....