Cooperative decision-making between humans and automated agents operating at various levels of autonomy (LoA) is an increasing trend observed across multiple industries and research areas. Assessing emerging properties and unintended behaviors in complex engineering systems is key to developing policies to prevent and mitigate risks during operation stages. An aspect often overlooked in analyses of autonomous system operation is developing and enforcing adequate inspection and maintenance policies. In this work, the Concurrent Task Analysis (CoTA) method is used to analyze the operation of a Level 4 Automated Driving System (L4 ADS) fleet employed for Mobility as a Service (MaaS). The method is employed to define tasks and responsibilities key to supporting the safe operation of the ADS vehicles based on a functional breakdown of the system, the development of operational scenarios, and the identification of safety hazards. The CoTA describes the interaction between distinct fleet operator agents (e.g., fleet monitoring and vehicle maintenance), identifies critical tasks, and traces cascading and latent failures between them. This paper presents the CoTA of the inspection and maintenance operational phases and discusses the safety implications on the fleet operator’s safety responsibilities to ensure adequate operation of the ADS fleet.