Act as a senior project manager with 10+ years of experience in agile and remote team coordination. Design a detailed AI tool for time tracking that integrates with [PROJECT MANAGEMENT SOFTWARE], offers [AUTOMATED TASK DETECTION] based on calendar events or manual inputs, and provides [SMART TIME ALLOCATION SUGGESTIONS] using historical data. The tool should include features like real-time progress dashboards, anomaly detection for time discrepancies, and personalized productivity insights. Explain how the AI would learn individual work patterns, optimize task prioritization, and generate weekly reports with actionable feedback for [TEAM SIZE] members. Focus on accuracy, user-friendliness, and seamless integration with existing workflows.