Not long. Maybe 5-10 minutes. Which actually leads me into my next update...
Tried to use it again this afternoon, same thing happened again. Started up fine, worked for 5-10 minutes, then died and wouldn't restart. Checked gas, there was some pressure in the tank and some gas squirted out once the cap was loosen. Still wouldn't start.
Pulled plug, couldn't see a spark again, so moved to the garage and turned off the lights. Could see spark, but it was somewhat faint. Checked gap, in spec (0.6mm). So I guess that's what happened yesterday, good call out! Watched a YouTube video that suggested changing the gap to 0.7mm for hard starting poulan saw, tried that, could see the spark outside in the shade after that.
Pulled air filter, spotted lots of vapors coming out of carb. Gave it like 30 minutes to rest, it started up again pretty easily. Got a few more cuts in and then it died and wouldn't restart.
So at this point I suspect I got a vapor lock problem, not an ignition problem. I also have another problem where the saw will die after every cut unless I keep giving it gas after the cut.
Also, it's a Chinese carb, I could never get the factory carb working at all.