Act as a Customer Service AI Specialist with 5 years of experience in implementing AI solutions for inquiry routing. Design an AI system that efficiently routes customer inquiries to the appropriate department based on [inquiry type], [customer history], and [urgency level]. The system should analyze text input for keywords and context, prioritize inquiries using predefined rules, and learn from past routing decisions to improve accuracy. Include a feedback loop where [customer satisfaction] and [department efficiency] metrics are used to refine the routing algorithm. Ensure the system integrates seamlessly with existing [CRM software] and provides real-time suggestions to customer service representatives. Highlight strategies for handling ambiguous inquiries and scaling the system for [large enterprise environments].