1995 honda civic fuel problem?

I have a right hand drive 1995 Honda civic LX(stick shift)(carburetor not fuel injected) 4 door. When you cut on the car as long as you keep it accelerated it stays on but once you take your foot of the gas for a while it sputters and cuts off. So you can drive it, but when you stop you have to put it in neutral and keep gasing it up or it will cut off.
You can see the gas coming out of the valve when you aren t taking gas and the car begins to sputter(basically floods out). The valve is located under the air filter i think that is in the picture.

Anyways i was told it was my fuel pump, changed it no difference. Was told it was the needle seat/plunger valve on the carburetor changed them out nothing changed.
Also it was mention to me that on the line to the pump is supposed to be a pressure control valve that i can set to let less psi come through but i seem not to have one or are they bsing?
Any ideas?

At the *onset*, *typically* (not definitive), a bad fuel supply (pump or filters) will show up when accelerating or at rpm. When the demand for fuel is at it's greatest.
sounds to me like a dash pot issue. Prolly solenoid activated. Prolly vacuum controlled. Check both. Ascosiated vacuum leak and the solenoid itself.
could easily be dirty idle mixture needles screws/seats.

FYI,
even though this is not EFI, there likely are some trouble codes to retrieve.

The very 1st thing to check is the engine idle… If the idle is not high enough, then engine will stall or "cut off" ( ? ) as you would say

Check for a vacuum leak with a smoke machine, replace the fuel filter and replace or rebuild the carb.