Apparently it still doesn't work since he's not back yet.
🤔
Sputtering...probably the technical term for a fuel issue? Or is it a bog? If it runs fine at idle, the idle circuits seem to be good.
Be nice to know more info....original engine? 4bbl or 2 bbl? Assuming 4 bbl. EGR? No EGR? HEI distributor, I assume?
TIMING. Make sure your ignition timing is set right. Not saying this is it, but if you know that's good, check it off the list. No crossed wires as far as firing order, right? Ignition problems like a messed up coil or other components could be causing the sputtering.
FLOAT LEVEL. Has to be high enough to sustain maximum fuel draw without running dry. This coincides with the dirty fuel filter path, fuel pump pressure correct, etc., as mentioned.
DID YOU F**K WITH IT? Did you adjust anything or tweak some screws or any of that once you started having problems. Not saying you did, but it's good info that might be important to help.
One other thing to consider is the reaction spring, plunger delay spring, or whatever you want to call it. The TOP spring above the pump cup. If it's weak or broke, you can try and pump fuel, but it'll just allow the return spring (lower spring in the bottom under the cup) to keep the pump cup right about where it starts. The plunger still goes down, but the cup doesn't move or barely moves and you get a poor or no pump shot. Only way to tell if it's working is if you see a healthy pump shot to the primaries when you stroke the throttle blades while looking into the top of the carb (ONLY DO THIS when engine is OFF).
Another possibility, and since I'm not there, can't see it or have video....(assuming good gas, and good mechanicals) is that a secondary accelerator tube or both tubes have come loose and are sitting in the float bowl. These accelerator tubes act like an accelerator pump for the secondaries allowing extra fuel to shoot into the secondaries just as the air flaps start to open but before good fuel flow starts through the main secondary fuel circuit. Without them, you could cause hesitation, but I doubt it would be sputtering.