Tàu-tīn vs. tsò-hué in Hokkien
Though "鬥陣" and "做伙" roughly mean the same thing, there are subtle differences in between these two phrases.

As a native speaker, I would say "做伙" is more at "be a friend", whereas "鬥陣" is more at "together". This explains why they appear in the song interesting you.

Nevertheless,
in everyday speaking nearly nobody would deliberately differentiate one from another.