I have won both Gambit Prime and Regular Gambit and did not unlock the Triumph for winning with Gambit weapons equipped. I used "Spare Rations" for kinetic "Last Man Standing" for energy and "21% Delirium" as my heavy.
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Hi there, The triumph is very iffy with what weapons count and what weapons don't. The issue for you seems to be 21% Delirium. A large majority of people say that doesn't work. I have heard people say that they're used Spare Rations and it works. Not much about Last man Standing. Your safest bet is to run any weapon in the original Gambit collections badge. So basically any original gambit weapon. They all guaranteed work fine.