Is there a known fuel issue with a 1984 grand wagoneer

I was given a 1984 grand wagoneer that has a 360 in it. It was sitting in a field for over a year, but I love these tanks and the price was right. Body and interior are mint other then missing wood panels. I figured even if I had to replace the motor it was worth it. I got it home and put a little gas in the carb, crossed fingers, and turned it over. It fired right up then died after it burned off the fuel. I put a little more gas in the carb and this it ran a little bit longer and sounded nice (was smooth and quiet) then died again. The carb looks fairly new and the engine is clean, no visible oil. I thought maybe due to sitting the half tank of fuel it had was to old, so went and got a jerry can and added some new gas to try and freshen it up (about 10 liters) and still the same thing, runs like a dream as long as you put gas in the carb then dies once it burns off. I figure I will start by replacing the fuel filter but was wondering if there are known issues with this particular setup or if anyone has any advice of where I should start testing first.
Any help would be appreciated.