The fuel should be half way up the glass window, running your fuel bowl dry is not normal, your carburetor is using more fuel than it is receiving.

so... your carb is either not allowing fuel in or... a sufficient volume of fuel is not making it to the carb.

I recently had the exact same symptoms.

I replaced the carburetor as my top cover was warped and could not seal even with a new gasket kit.
Just doing the carburetor did not solve all my symptoms as i had alot wrong (many vacuum leaks).

Today I replaced my fuel pump and my car now runs fine.

Check your fuel pump from underneath, if it is excessively oily then i would consider changing it for a new one.

Before spending money on replacing the fuel pump, first run a new hose to the inlet of the carburetor and see if you can blow through the hose while your fuel bowl is empty.

If you can not blow air with the bowl empty (float down/needle open) then replace the needle and mini filter in the inlet, then reset your float so fuel is half way up the glass window on your carburetor.

Ash.