Write a story about a detective who is on the trail of a notorious serial killer, but the killer always seems to be one step ahead of them

Write a story about a detective who is on the trail of a notorious serial killer, but the killer always seems to be one step ahead of them. Just when the detective thinks they have finally caught a break, the killer slips through their grasp again, leading to a cat-and-mouse game that escalates as the detective delves deeper into the killer’s twisted mind.