Well that will be a discussion that will go hand in hand with their performance in the Champions League. If they can't perform well there, then logically they will focus more on the domestic league. However, if they can perform well with the new coach, then they will make these 2 competitions a priority for them to win this season.
For now their focus is on the Bundesliga, they want to do their best in the Bundesliga, especially since the Champions League hasn't started yet and they don't know who their opponents will be in this league phase, because the draw will be held on Thursday, so there is still one more day to see the table of opponents they will face in the Champions League phase this season. Let's just wait, whether the draw results will benefit them or not at all.
It seems to me that the Champions League will always be a priority tournament for any team, because it is the most prestigious tournament and because there are quite high fees that will stimulate the team to win. Whoever their opponent is, I am sure that they will have the task of getting out of the group to the playoffs, this will already imply very decent bonus payments. Moreover, Bayern has always strived to win this tournament, I think they do not have a task below the semi-finals or the final, so this season they will try to win the Bundesliga and the Champions League, but it is hard to believe in the second task.