When the Project Board instructs the Project Manager to implement a request for change, details of that change are contained in an Issue Report. This document provides a detailed description of the issue, its evaluation, and the decisions regarding its resolution, including any changes to be implemented. References:
PRINCE2 Foundation official study guide and online resources.
These answers are based on the latest materials and guidelines from the PRINCE2 Foundation documentation and should reflect the most current practices and theoretical underpinnings of the methodology.

The first task in PRINCE2's recommended approach to 'defining and analyzing the products' is writing the Project Product Description. This document outlines what the project must deliver in order to gain acceptance.
It serves as the basis for defining and analyzing more detailed product descriptions later in the process.
References: PRINCE27 Foundation Handbook and official training materials.

In PRINCE2, a management activity within a project typically involves formal agreements and organizational actions. Agreeing on a work package with a team manager is a core management activity, where specific tasks, responsibilities, and tolerances are defined and communicated, ensuring that the project's delivery aligns with the planned objectives and constraints.
PRINCE2 7 Foundation study materials on project management activities.

While team managers in PRINCE2 are primarily responsible for the production of the work packages assigned to them, they may also provide valuable advice on tailoring the methodology to better manage these work packages within the specific context of the project. Their practical experience and direct involvement with project delivery can offer insights into how PRINCE2 can be adapted to enhance efficiency and effectiveness at the team level.References: PRINCE2 Foundation Manual