The PRINCE2 principle supported by the setting of tolerances for the three levels of plan (Project, Stage, and Team Plans) is "Manage by exception." This principle allows management to set predefined tolerances for project objectives, and only escalate issues to higher management if these tolerances are exceeded, thereby facilitating efficient use of management time and focus. References: PRINCE2 Foundation manual, PRINCE2 official resources

When tailoring PRINCE2 to suit the project environment, changes can be made to the terminology used to better align with the organization's existing standards, policies, or practices. This helps in integrating PRINCE2 within the organization more seamlessly without altering the core principles and themes which are foundational to the methodology's effectiveness. References: PRINCE2 Foundation Guide, Tailoring PRINCE2 section

The purpose of the Change theme in PRINCE2is to identify, assess, and control any potential and approved changes to baselined products. This theme provides the mechanisms to manage and control changes, which may affect the project's agreed-upon scope, products, timescales, or costs. It ensures that all changes are assessed for their impact and only implemented with appropriate approvals.References: PRINCE27 Foundation resources and materials.

he PRINCE2 principle of "Focus on products" helps to ensure that all changes to the outputs are agreed upon. This principle emphasizes defining and delivering products that meet specific requirements, ensuring that changes are controlled and agreed upon through the proper product descriptions and project management processes. It helps manage scope and quality by focusing on product delivery requirements.References:
PRINCE2 Foundation Manual

During the 'Initiating a Project' process, the project manager develops key information, including the detailed Project Initiation Documentation (PID), which enables the project board to decide whether to proceed with the project. This information outlines the approach, plans, and controls that will govern the project, providing a foundation for detailed planning and informed decision-making by the project board.References: PRINCE2
7 Foundation materials on the 'Initiating a Project' process.