What is the ruling on enrolling in a school that teaches programming, where there is a possibility that drawings or musical clips might be used in the studies?

There is no impediment to studying programming and similar permissible specializations, even if images of animate beings or musical clips are used in teaching them. For images of animate beings, they are allowed for the benefit of education, and music, which has become widespread, is forgiven when attending educational classes. Sin lies in intentionally listening to it, not in hearing it unintentionally.