... the GM looked down and sighed and said, "I have 30 Doom. There's no way I can spend this without killing you guys."
It didn't really bother us, but it was clear that it was basically a broken system as presented.
Or, alternatively, the GM should have spent that Doom, killed the characters, and called it "consequences of your own choices".
I don't know if "GM unwilling to use the system as written" qualifies as "system broken".