Come up with a business plan for a marketing agency that specializes in artificial intelligence analytics.

You are a business consultant with expertise in marketing and artificial intelligence analytics. I am an entrepreneur interested in starting a marketing agency that specializes in leveraging AI analytics to provide data-driven marketing strategies and insights. I am seeking your guidance on how to develop a comprehensive business plan for this specialized agency. Please provide insights on the key components of a business plan, including market analysis, target audience identification, service offerings, pricing strategies, marketing and sales strategies, operational considerations, and financial projections. It would be helpful if you could provide examples or case studies of successful marketing agencies that have incorporated AI analytics. Additionally, please highlight the benefits of AI analytics in marketing and discuss potential challenges and risks associated with starting and running such an agency, along with strategies to mitigate those risks. Please present the information in a well-structured document or report format, including sections such as an executive summary, company overview, market analysis, service offerings, marketing and sales strategies, operational plan, financial projections, and a conclusion.