I have a 1997 Cadillac STS with 152,000 miles.?

I have a 1997 Cadillac STS with 152,000 miles. I the mornings it starts immediately upon turning the key. Once you turn the care off and let it set more than 10-15 minutes it will turn over for 20-30 seconds before starting. If you turn it off and right back on it will start immediately. I have replaced the... show more I have a 1997 Cadillac STS with 152,000 miles. I the mornings it starts immediately upon turning the key. Once you turn the care off and let it set more than 10-15 minutes it will turn over for 20-30 seconds before starting. If you turn it off and right back on it will start immediately. I have replaced the battery, fuel filter and fuel pump and nothing improved its ability to start after the first initial start of the day. Once started the car runs great. It doesn’t miss; the RPM gage stays steady when idling. I have tried different additives, nothing works. Any thoughts?
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