Well, usually when you screw up something in the rebuild, it does not run right at all, or quits almost immediately.
The cardinal rule of fixing things, is that when you do something and something else starts going wrong, always suspect what you just did.
Which is good advice in this case, but lets don't take it right away.
Try this first.
Crank it up, leave the hood open, unless you have to drive it to get it to quit, and get ready.
Before it quits, blip the throttle a couple of times. If it responds and does not stumble, it means the accelerator pump is working OK. Which is necessary for this test.
As soon as it quits, pull the top of the air cleaner off, look down inside the throat of the carb, and work the throttle with your hand.
You should see gas squirt into the throat.
If you do, then I would quit worrying about fuel problems for now.
I would concentrate on spark. Most likely the ignition module of other problems with the distributor.
If you do not see gas, then either the float is sticking and causing it to run out, or the fuel pump or filter has problems.
I know this sounds stupid, but make real sure you have plenty of gas in the tank.
You must isolate the problem. Assuming you do not have a major mechanical issue with the engine, its going to be fuel or spark.
Checking for fuel is fast and easy, or you can pull a plug wire after it quits and see if you have a spark.
Also, does it sputter at all when it quits? How about black smoke when it does?
The hard starting might just be the choke out of adjustment, but the quitting probably is not unless the choke is stuck all the way closed.