Remove references from CircleCI from the release scripts (#49122)

Summary:
Pull Request resolved: https://github.com/facebook/react-native/pull/49122

This change updates the Release testing and the release scripts by removing any reference to CircleCI

## Changelog:
[Internal] - Remove CircleCI references from Release and Release testing scripts

Reviewed By: cortinico, huntie

Differential Revision: D69047479

fbshipit-source-id: 14a394b879c03cd81a8d043036c43839a38602c7