It sounds like the starter solenoid if you have just a "click" when starting. They tend to fail hot and it's not uncommon. You could tap the starter and try and see if it starts and you'll know that's the problem.
I can give you the IAT picture but it has no control over the engine's ability to start the car. The computer uses it to determine air density. If it fails it won't cause a no start.
If you need more help I'm here.
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