Fuel starve

Hi
My Car is a 68 barracuda powered by a 340ci
I replaced the fuel pump And have a rebuilt carb but still face the problem of not getting fuel when engine runs at idle speed once hot ( typicaly ok when starting cold but then Starving when hot )
No issue when engine runs above 1200rpm

other Point is that i also get the carb dry when car is stopped For 30mn after running and engine is at running temp

could it be due to some issue on my fuel line ? Other ?

thanks for your support
Also if you can eleborate on how you determined the engine is not getting fuel, that will help.
The fuel level in the carb's bowl is the key point to seperate whether there is a delivery problem or not.
A restriction in the delivery system will effect high flows more than low flows.
And the fuel bowls need to refill more quickly (engine uses more fuel) driving at higher rpm and more throttle.
So restrictions cause the fuel level to become worse under more throttle.
Therefore, based on your post, the problem may not be a fuel delivery problem.