Let's say a team that is over the luxury tax trades away a player for whom they had Bird's Rights. They receive a player on a 1-year contract worth $7 million. This new player did not have Bird's Rights from his previous team. So that means he won't have Bird's Rights with his new team either.
Since the team is over the luxury tax and they do not own Bird's Rights, is it impossible for them to retain their newly acquired player after the season?