May have left the key on too long when setting up for your push button start.
Can over heat the coil and then they start going bad.
Try another good coil and make sure to not leave the key on any longer than necessary.
That's the one drawback with your push button to start, your key needs to be in to supply power to things.
With the Key only original start it's: put the key in and go right to cranking for the start.
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