Genesis 9:3

“Every moving thing that liveth shall be meat for you; even as the green herb have I given you all things.”

KJV

Meaning

Animal food is now expressly permitted to Noah's family, with the grant compared to the earlier provision of plants.

This permission is not the whole ethical discussion about food; verse 4 immediately adds a blood-related restriction within the same unit.

Provision expands after the flood, but even expanded freedom comes with boundaries rather than unrestricted consumption.