Over the years I have learned not to soak or ultrasonic carbs that have check valves and or non removeable jets found on hand held small engines but instead spray wash them with carb cleaner or non chlorinated brake clean before then again during disassembly then shake dry or turn the can upside down to use the propellant, never compressed air. If you have the bing carb the needle may be sticking in its seat, it has a plastic needle lever or the diaphragms may be hardened, torn, warped. I like to try using a Q tip preferably a paper one with the end cut off that it twist against the seat. I have also used mechanical pencils by extending the lead just long enough to reach the seat to rub against it and also feel for wear. Carefully compare the needle in the kit you get against the one removed, I have found half of the aftermarket carb kits have the wrong one but its very difficult to see the differences if you are not looking hard for them. The fuel hose or impulse hose may be rotten, cracked or even blocked. On saws this old Its best to replace every section of the fuel system for longevity .
I got one in march at a yard sale for 25 bucks that looked like it was run every day for a decade then sat on a shed floor for another 20 years. I put 160 bucks in parts into it and did some simple intake porting, changed the intake boot and carb setup and the thing became a beast. I test ran it to break it in and dial in the carb on a monkey puzzle tree trunk down the road a arborist was working on removing. It cut faster and sounded better than the guys newer 661, I can lean on it much harder in a cut than newer 70cc saws without bogging it or causing clutch slippage.