The ball never has frontcourt status here.
The player catches the ball while touching both the frontcourt and the backcourt. The player has backcourt status when he touches both, so the ball has backcourt status as well. Team control is established at this point.
The player then bounces the ball. This is a dribble, so the status of the ball is governed by the "three points" rule. All of the player and the ball need to be in the frontcourt for the ball to attain frontcourt status during a dribble. This doesn't happen.
The player now passes to a teammate in the backcourt. No violation.
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