Doing International Management at Bocconi so I can have more time to do internships, is it a bad Idea?

Hi, I'm an Italian student, and I was thinking if doing a management degree would be detrimental to my career if I planned to work in IB (London/Milan). I always believed that the brand name is more important than the course itself. I would like to hear some advices from people who went through these situations, thanks :)