Heres the thing- with the top cover removed- start the saw.
Let it idle and with a small screwdriver or similar, cross the two blade terminals at the ends of the wires at the red switch- if the saw stops- the issue is somewhere within the switch system.
If it continues to run with the two wires "joined" by your screwdriver- then the issue is between coil and switch- most likely a broken wire- that is the wire inside the insulation- insulation may still be intact. A likey suspect is where your blue wire attaches to the coil and then does a sharp 180 bend.