Omg! it's been 17 years already since this song came out! I feel old now :(
Song: Who Let The Dogs Out is a song performed by the Bahamian group Baha Men.
Reminds me of the pair of unique Skags you come across in Borderlands at some point in the game, running in circles as well.
You don't have to die every time they come around, just run as far off to the side as possible and they won't aggro.
Simply mount up & follow 1 of the Bosses round, reviving the allies as you go. You will probably need to run off to the side at some point to avoid being 'tagged' but it's not a tough Q tbh. Not sure if this was just a temporary bug or not but I got wiped twice doing this for the first time, when I got back to be 'repaired' there was no cost. Bingo!
[Who Let The Dogs Out?]