FYI, by proposing it's fuel-related, I'm referring to all things fuel related, fuel pressure, delivery, mixture, etc. I believe you said it starts at the fender well, then dies 1-3 seconds later, is that still correct? If so, I think your electrical and ignition are fine.
I presume you are NOT filling the fuel bowls more than one time, am I right? Just the one time? The fuel pump will keep the bowls filled, unless it cant get the fuel there.
Is that carb brand new, or was it used and sat for a while? Has the carb ever run well on this (or any) engine?
Is it choked when starting? Does it stay choked when running? A choke pull-off may open it up too soon and cause the engine to die as soon as it makes vacuum. I'm not sure how your choke will behave, though.
Too bad you don't have an alternate running OEM carb you could throw on there for testing.