As stroke care depends on the collaboration of neuro-interventionalists, neurologists, neuro-radiologists, and ER physicians, introducing agentic AI tools into the medical stroke team raises theoretical and practical questions regarding the re-delegation of formal and informal tasks and responsibilities among human team members and between physicians and the AI tool. In this study, we employ an interview-based approach to examine the impact of an AI tool and mobile app on stroke detection and management, focusing on three levels of teaming: inter-rank, inter-specialty and inter-organizational. While AI agentic tools have a great potential to revolutionize stroke care management, reduce treatment time and improve patient outcomes, these goals also depend on a carefully guided teaming process.