This is the 3076th most frequent Korean word.
ba
"Ba" (바) in Korean can mean "bar" (as in a place for drinks) or "basket," depending on context.
The word 'ba' is part of '바빠서' which means 'because [I'm] busy'. It comes from the verb '바쁘다' meaning 'to be busy'.
바빠서 시간이 없어요.
I'm busy, so I don't have time.
The word 'ba' does not appear directly but as a phonetic example representing the '음악' (music). It is irrelevant in this context.
저는 음악을 좋아합니다.
I like music.
The word 'ba' is again part of '바쁜', a conjugated form of '바쁘다', describing the week as busy.