1 Death of Choking On A Giant Frog: But wait. Those guys originally died in a fireball that created a temporal paradox in the first place. That you must investigate, but are now forbidden to go near.
2 Death of Insanely Overpowered Fireballs: Hmm... true. But... hey! You can do me a favour! Investigate the paradox for me!
3 Death of Choking On A Giant Frog: A good plan, with but one fatal flaw.
3 Death of Insanely Overpowered Fireballs: What's that?
4 Death of Choking On A Giant Frog: Why would I ever want to do you a favour?
4 Death of Insanely Overpowered Fireballs: Curse you, Choking!

It's interesting how they can have a workplace rivalry... when they don't have a workplace.