In PRINCE2, the role specifically responsible for carrying out risk response actions is referred to as the 'risk actionee'. This role is assigned to an individual who is tasked with implementing the agreed upon actions to address specific risks. The risk owner, on the other hand, is responsible for the overall management of the risk.
PRINCE2 7 Foundation handbook and official documents.

In PRINCE2, a project is defined as a temporary organization that is set up to deliver one or more business products according to an agreed Business Case. The temporary nature of projects highlights their finite and unique aspects, distinguishing them from regular, ongoing operations. References: PRINCE2 Foundation manual, PRINCE2 official resources

Uncertainty in a project is identified, assessed, and controlled by applying the risk practice. This practice involves systematic risk identification, analysis, and management, ensuring that risks are properly understood and addressed through appropriate responses to protect the project objectives. References: PRINCE2 Foundation official guide and risk management section.

When a project manager plans to keep the CO2 emissions of the project aligned with the business strategy, this addresses 'benefits sustainability'. This aspect involves ensuring that the project's outcomes and benefits are sustainable and align with broader business strategies, such as environmental objectives and corporate responsibility goals.
PRINCE2 7 Foundation documentation on sustainability in project management.

When the project manager is also acting as the team manager, they should use a 'Work Package Description' to control the work of a team member. This management product details what is to be delivered, the reporting requirements, and the tolerances within which the team member must work, providing a clear definition and control mechanism for delegated tasks.
PRINCE2 7 Foundation guide on management products, specifically Work Packages.