A robotic system and method for coordinating multi-robot teams to optimize object manipulation and sequence-based scoring in a dynamic environment. The system comprises robots equipped with mobility systems, articulable arms, and processing circuitry. The processing circuitry tracks the number and color of objects projected toward a specified goal location and evaluates the objects against a desired target sequence. Utilizing historical performance ratios, real-time score tracking, and dynamic threshold monitoring tied to a countdown timer, the system dynamically switches the robots between a non-collaboration mode and a collaborative mode. Within the collaborative mode, robots are selectively assigned to distinct operational states, as a dynamic state for both collecting and projecting, and a throw state for exclusively projecting, based on historical projection accuracy. The system continuously evaluates real-time performance and localized object color distributions to dynamically swap robot states and maximize sequence adherence.