Based on this quote, why did heaven give the Zhou kinds the Mandate of Heaven?

It is unclear which quote you are specifically referring to. However, in Chinese history and philosophy, the concept of the Mandate of Heaven suggests that heaven, as a divine entity, bestowed the right to rule upon a particular dynasty or ruling family. This mandate was provided based on the belief that the rulers were just, benevolent, and capable of effectively governing and promoting the well-being of the people. If the rulers were deemed tyrannical or failed to fulfill their responsibilities, it was believed that heaven could withdraw its mandate, leading to rebellion and the rise of a new dynasty.