don't ignore the vapor system in the car.
try this: start the car let it run till it dies, now go to the gas cap and listen to it as you turn it if you hear a air rushing in like opening a can of food with a vacuum, then leave the fuel cap off and start the motor and see how long till it dies.
if it keeps running then your fuel vapor emissions system is most likely full of varnish and gummed up and needs to be replaced.
rust in the fuel is a big issue as well, to truly remove rust you need to completely replace the fuel system. The fuel line can equally be full of varnish and rust. all the OEM fuel lines and vapor lines are just mild steel, after almost 40 years of use they will be completely ruined inside. With the available replacement parts today you are better off saving up a few hundred dollars and completely eliminate a rust problem with the fuel system.
now if you have already replaced the tank and the sender, i would look into a replacement fuel line and a replacement vapor line that runs from the top of the tank up the transmission tunnel up the fire wall to the charcoal fuel vapor canister. you also want to make sure the fuel canister is not clogged with gum.
first and foremost keep all foreign contaminates out of the fuel system, any rust particles can clog up the bowls accelerator pump shot, and idle needles. all the fuel circuits in the carburetor are very small and easy to trap rust and cause a clog in the system.
it would be a good idea to try running the the engine off a separate clean fuel source and see if you have no issues.
your fuel pump might be fine, but its easy to replace, just remove the oil filter to get clearance.
make sure to run an external fuel filter at least temporarily. the glass filters are great to see the fuel but they are dangerous to use for daily use, they can crack and send fuel all over and possibly cause a fire.
try testing the vapor system by running the car till it dies with the fuel cap on, then with the fuel cap off.
if there is no change and the engine is still dieing then you need to look at replacing the fuel line it self and the pump and cleaning out the carb, make sure the fuel is free of all particles.
if you find the gas cap is making a difference in how long the engine runs then you will need to drain the tank remove it and replace the fuel vapor hardline as well as cleaning out the top vent in the fuel tank removing all gum and varnish.
lastly you want to confirm your charcoal fuel vapor canister in the engine bay is not also clogged up.