What does the lyrics Drop a heart break name mean?

"Drop a heartbreak name" refers to revealing the name of a person and/or people who caused heartbreak, pain, and romantic troubles for the singer or the character in the song. In a broader sense, "heartbreak name" can stand for someone who broke one's heart.

By addressing these heartbreak, the act signifies an expression of vulnerability through a public proclamation on someone who caused emotional torment through a relationship or past experiences. In the context of the song's lyrics, it represents moments of confrontation, personal growth, and potentially even warning others about those individuals.