Now, after you are sure that the saw is completely dry, put a new plug in, hook on the plug wire, and pull the rope a dozen more tries, try to get it to start/fire. Put no gas in the saw at all. If it finally starts, then dies, then you had a flooded saw, and go from there. If it doesn't fire at all, and the saw/tank is still dry, put a shot of carb spray into the throat of the carb, and try again to get it to start then die.
If it won't, then you likely have other problems as well, as an otherwise healthy saw will fire then die with
a prime/shot of carb cleaner.