One of the objectives of the 'Directing a Project' process in PRINCE2 is to ensure that there is a clear interface between the project and corporate or programme management. This process enables strategic oversight and decision-making, aligning the project with broader organizational objectives and governance frameworks.
References: PRINCE2 7 Foundation Handbook and official training materials.

A risk budget should be used to implement contingency plans (2) and actions to avoid a risk from occurring (3). This budget is set aside to fund specific actions that are part of the project's risk management strategy, enabling proactive and reactive responses to identified risks, ensuring the project remains on track despite uncertainties.
= PRINCE2 7 Foundation handbook and online resources

A key decision made during the 'directing a project' process is to confirm that the benefits management approach addresses all expected benefits. This ensures that the project is aligned with its intended outcomes and that all potential benefits are adequately planned for and tracked. References: PRINCE2 Foundation Training Manual; PRINCE2 2017 Foundation handbook.

The purpose of a Quality Register in PRINCE2 is to detail the number and type of quality activities to be conducted. This register records all planned and completed quality activities, including details about each quality check, such as who will perform it, when, and with what result. This helps ensure all required quality reviews, tests, and evaluations are organized and tracked throughout the project.
PRINCE2 7 Foundation resources and study materials.

The approval needed to replace a Stage Plan with an Exception Plan must come from the Project Board. This is because the Exception Plan is created when a Stage Plan is forecast to exceed its tolerance levels, and the Project Board is responsible for approving such significant changes in the project's direction or management.
References: PRINCE2 Foundation official documentation and study materials.