I would sort out if there is an electrical issue.
If turning the key fails to engage the starter motor, then its possible the ignition won't be powered when bypassing the safety switch.
After the starting circuit is tested, you'll want to test the ignition stays powered when the key is released in the "run" position.
After that, its all about fuel and spark. If it runs at all, you're getting spark.
So it comes down to fuel. If you have decent fuel pressure at the carb, then your carb may need a cleaning or inspection. If not, look at those double fuel