Just had what might be the lowest damage run of all time. Got a bunch of civilians, a soldier, and a bunch of pacifists on the board, which combined made the odds of me actually taking damage really low. Combine this with some Internal Affairs Officers and Extra Life pieces, it was possible to increase my maximum hitpoints to around sixty or so, and because every boss took so long it was possible to get this relatively rare piece really often.
I could delay things further by getting the one-up piece, as well as by using a doctor + medkits to heal myself fully when my hitpoints got low. Since every hitpoint lasted like ten rounds, the odds of pulling off one of these maneuvers went up drastically, since I had many shots at getting either piece.
In the end, I could basically whittle down every single boss one after another, despite not really upping my damage at all, my highest damage piece was an engineer who dealt 36 damage. That's how I managed to take this game that's supposed to take a maximum of 108 rounds and dragged it out to over a thousand.
If it wasn't obvious, this is a cry for help, and a clear sign that I have spent way too much time on this game. It has been fun, but I should never play this game again for my own good, and I'm leaving this comment here as a reminder of that.
I rate this game a solid 7.5/10