You're right. Found the relevant docs+API calls:

https://docs.github.com/en/rest/actions/workflow-runs?apiVer...

Also for a Pending Deployment: https://docs.github.com/en/rest/actions/workflow-runs#review...

Both of these need `repo` scope, which you can avoid giving on org-level repos. For fine-grained tokens: "Deployments" repository permissions (write) is needed, which I wouldn't usually give to a token.