it says to operate the throttle accelerator pump 2-3 times first
I'd go easy on the throttle pumping.
Following a near-disastrous fire to our -161 (rescued only by a quick thinking pilot of another aircraft who discharged is own extinguisher into the cowling) my late partner and co-owner Trevor Shaw looked into what had happened. The renter pilot had pumped the throttle "5 or 6 times" in an effort to get the recalcitrant engine to start.
Trevor, who was a garage owner and race car mechanic, found that any more than 3 pumps had neat fuel running out of the air changeover box onto the inside of the cowling. On the other hand it took a great deal of primer pumping to get any fuel to emerge at all.
The real culprit was the recalcitrant engine which had got progressively harder to start. It turned out that the carb was badly worn and that there several other contributory factors. After Trevor finished with the engineers and they finished with the engine, it became the best starter I've ever known, starting first turn, every time, all the way through the rest of it's 2300 Hr career.