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The coil could be the problem, you can check with an ohm meter. Also check the connector where the ignition switch plugs into the dash harness on the steering column.

I was having the exact same issue as you, and I found the pin burned on the red wire.

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very good point/suggestion.
Also check the firewall connectors making sure there plugged in right.
20 plus years ago I soldered the big red wire togeather under the steering coluum, end of that problem. I cut a zip tie off to get these pictures and pulled up some shrink wrap so you can make out the red wire.

with a bigger peice of shrink wrap around it and I zip tie it to the coluum.