Hello JohnnyMtn,
You could have gotten a bad coil.
"New" does not mean good, especially online. Some coils have been returned many times and have traveled many thousands of miles only to be returned again and again. This is what our Amazon "free returns" society has gotten us.... lots of junk flooding the open market.
Yes, disconnecting the kill "safety" wire will allow it to produce spark, but the engine has to be spun fast enough, and the air gap needs to be correct with the coil tightly mounted. A simple paper business card is good enough for setting the air gap between the coil and the flywheel magnet.
You also need to use an open-air gap type spark tester set to 1/4 inch minimum. Simply watching the .030-inch of a spark plug gap does not stress test the coil. A good coil will produce a strong blue spark that will easily jump the 1/4 gap.
The "Christmas tree" type spark testers are a gimmick design that some fool has made a lot of money off of and they are very unreliable. Lots of misdiagnosed parts have been changed because of them.