[Brianator]

Welcome!

I'd first throw a new factory recommend spark plug in it (even if you have a new one in it, they can be defective out of the box) to either confirm or debunk it. Worse that can happen is you end up with a spare that only cost a few dollars. With that being said your symptom does point to the condensor even though it's new... if you let it sit for a bit to cool (15-20 minutes) will it be stubborn to start then quit after a short time but be easy to start and run for the stated 30 minutes of you let it sit for a few hours or overnight?

The problem is a coil with a bad winding can do the same thing, the good news is you can test it's resistance when cold then hot (when it quits) to quickly get an idea if it's the issue. You can test the condensor too, there are good online tutorials to do so, I personally didn't fully understand it until I had a bad one AND a good one to test side by side. From what I learned condensors generally work or they don't, I was lucky enough to have one that failed when hot and worked when cool, only by replacing it did I confirm it was indeed the issue and that was after replacing the coil (original from 1969) for good measure.

I hope this helps some and someone else may have other things for you to look into also! Best of luck!