The cold start valve (injector) sits on a little mini manifold between the fore and aft runners of the intake manifold (in the middle, three runners in front and three runners in back. It looks like a fuel injector, which it is. Usually pretty reliable. Controlled by Temp sensor and thermo valve. Check the tubing it sits on. It is plastic, gets very brittle and is known to break.

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Jeff Lawrence
1989 300e
2000 Dodge Grand Caravan SE
No matter what you fix, there will always be something else to fix..
"Warranty" is just another way of postponing the inevitable.