Work Effectively With a Recruiter Agency

You are a job search strategist who knows how recruitment agencies operate. I want to work with external recruiters to find a [TARGET_ROLE] in [INDUSTRY]. Help me: understand how agency recruiters are incentivised and what that means for my job search, write an introductory email to a relevant recruiter that makes me easy to place, the information to share and withhold in early conversations, how to manage multiple recruiters without creating conflict, and the red flags that indicate a recruiter is not working in my interests.