Spark plug is wet, fires for a split second after I unflood it. Both carbs are doing the same thing. I’m sorry for not giving enough info.
No Need apologize, it is hard to diagnose " over the phone" so to speak. Also hard to know what the exact condition of the SAW, and other components that affect the carb, and vice versa. I've never had or worked on an 031, but I do have some older saws like the 051 and 075. stihltech and others may correct me, but it is entirely possible something other than the carbs is wrong. Also, since you say that you tested both of your carbs and they are assembled, adjusted, pressure tested etc, and yet the saw still floods with both. Either something is wrong with both carbs, or something else is wrong within the saw that is causing or allowing the fuel metering parts within the carb to draw in too much fuel in the times it is supposed to seal or limit the amount of fuel.
I will ask stihltech to hopefully explain this better than I can. I am going by what my 051 shop manual says regarding carb/ fuel delivery, and doing my best to summarize a rather wordy section about how the fuel delivery functions when everything is 100%.
The fuel system section starts by saying that the fuel pump section of the carb functions by pressure in the crank case. This pressure varies with each up and down stroke of the saw's piston. The long and short of it is the diaphragm/ fuel pump parts go up and down inside the carb, they draw in fuel and they close off fuel depending on the pressures. As this is happening, these valves allow fuel to flow to the needle valve. As the operation of the carb is cont. in the section, it mentions how the metering diaphragm is in position of rest when the atmospheric pressure and diaphragm pressures are equal ( the chamber in front of the diaphragm is connected to atmosphere)
As I understand things, much like a float is adjusted in a lawn mower carb, the proper height of the lever that raises and lowers the inlet needle needs to be set right otherwise the fuel will either be too much and could continue to flow too much ( like it on choke when it is supposed to be off choke) or too little fuel. Forgive me if I spoke wrong there. I am trying to not type out the whole fuel section of the shop manual.
I will post this though. It says there are 4 basic operating conditions of the function of the carb
1, Choke valve is closed, and the throttle valve is partly open during the
starting process. A powerful vacuum is created in the choke tube during the induction stroke because the entry of outside air is almost completely restricted by the closed choke valve. This means that the engine draws in a large amount of fuel through the jets and relatively little air. A rich starting mixture is obtained in this way. The choke valve must be opened as soon as the engine fires--- the mixture would otherwise be too rich and stall the engine.