Which AWS service supports a hybrid architecture that gives users the ability to extend AWS infrastructure, AWS services, APIs, and tools to data centers, co- location environments, or on-premises facilities?

Explanations:

AWS Snowmobile is a service for data transfer to AWS, specifically for moving large amounts of data (up to exabytes) using a physical truck.

AWS Local Zones are designed to bring AWS services closer to end-users in specific geographic locations, primarily for latency-sensitive applications.

AWS Outposts is the correct service that extends AWS infrastructure, services, APIs, and tools to on-premises environments, providing a true hybrid solution.

AWS Fargate is a serverless compute engine for containers, which allows running containers without managing servers but does not support hybrid architecture.