Is the plug wet or dry after all that pulling?
If dry it could be a pumping issue where the little flappers that are integrated into the pump side carb gasket are stiff and/or warped and don't seal properly.
This can create weak pumping of fuel to the carb and is compounded because it can also cause the fuel sitting in the stored saw to more easily leak back into the tank during storage.
Once the carb isn't primed/wet anymore the flappers seal even less efficiently. Often the pump diaphragm, that's part of the same gasket, will also be stiff and then also impedes pumping. Add a small leak in the impulse line/circuit and you can pull forever before fuel gets to the carb.
As has been mentioned, squirting some fuel into the carb or cylinder can help, starting the saw jumpstarts the pumping action and once wet will work for successive starts in the short term.