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Could you clarify; did your blower quit? Or does it work?
What do you mean by splice the new one in?
Where are you mounting it? Stock location? Or somewhere else?
How did you diagnose a bad resistor?
What else have you checked and how did you check it?
5 mins consistently sounds like a thermal failure. Is there anything obstructing airflow to the resistor? How's the blower - something causing it to pull more current than it should? Wonder if there's a spec to check resistance on it or something. Not sure if it's brushed or brushless. Quick first check would be to spin it by hand and note if there's any binding. It should turn quite freely.