The project manager should choose a hybrid approach for this project, as this is a combination of predictive and adaptive (or agile) approaches that can be tailored to suit the project's characteristics and requirements. A hybrid approach allows the project manager to apply different methods and practices to different phases or deliverables of the project, depending on the level of uncertainty, complexity, and change involved. For example, the project manager can use a predictive approach for the research part of the project, where the scope, schedule, and cost are well-defined and stable, and an agile approach for the delivery part of the project, where the scope, schedule, and cost are flexible and iterative, and the customer feedback is incorporated frequently. The other options are not the best choices for this project, as they do not reflect the diversity and variability of the project's nature and context. References:
[PMBOK Guide], 7th edition, pages 14-15, 18-19, 22-23.
[Agile Practice Guide], pages 8-9, 12-13, 16-17.