Jump the solenoid while holding the start button. You still need to use the start button if you actually want to start it.
The Neutral switch creates a continuity path the 12 v on the solenoid but it ultimately terminates in the ECU. Once the key is authenticated, the start button is active. If the start button is then pressed, the logic activates the solenoid as well as energizes the injector routines. If you just jump it without the start button being pressed, the starter is engaged but there is no fuel injector activity.
If you do both, it should start. If it does, your solenoid is bad.
If it doesn't start, you need to then focus on the switch and the key/dess post.