Randomly shuts off

If the carb is empty the fuel is going out the vents, or it has an internal leak that only happens in the perfect storm..
A long, long long time ago (probably about 1984 or 85) Holley sent out some power valves that would lose tension when hot and they would open up. Is it going rich right before it gets lean? Those P V's were a nightmare for a while.

You need to figure out where the fuel is going. It is either out the vent , through the power valve or you have a fuel pump that is leaking internally when everything is just right.

I was assuming the carb goes empty when the fuel stops pumping and the engine is using up the fuel that is left in the carb. The AFR is exactly where it always is, doesn't get rich or anything. It just goes lean and the engine starts to stumble, it all happens within about 10 seconds.

When it happened last year I thought the pump went bad and was pumping into the crankcase like you said, so I changed the oil, but there wasn't any gas in it.

Im pretty sure its fuel pump back, because I brought some tools last night and when it died I undid the fuel line that goes to the carb and tried to syphon some fuel, nothing came out. Then I just waited about half an hour and it fired up perfectly.