chore: Prepares the new publishing system

[lantoli]

Proposed changes

Prepares the new publishing system that will use only Github Actions.

This PR prepares the Github Action so it can be called from branches while the new publishing system is being developed.

Jira ticket: CLOUDP-215089

Type of change:

• [ ] Bug fix (non-breaking change which fixes an issue)
• [ ] New feature (non-breaking change which adds functionality)
• [ ] Breaking change (fix or feature that would cause existing functionality to not work as expected)
• [ ] This change requires a documentation update
• [ ] If changes include removal or addition of 3rd party GitHub actions, I updated our internal document. Reach out to the APIx Integration slack channel to get access to the internal document.

Manual QA performed:

• [ ] cfn invoke for each of CRUDL/cfn test
• [ ] Updated resource in example
• [ ] Published to AWS private registry
• [ ] Used the template in example to create and update a stack in AWS
• [ ] Deleted stack to ensure resources are deleted
• [ ] Created multiple resources in same stack
• [ ] Validated in Atlas UI
• [ ] Included screenshots

Required Checklist:

• [x] I have signed the MongoDB CLA
• [x] I have added tests that prove my fix is effective or that my feature works
• [x] I have checked that this change does not generate any credentials and that they are NOT accidentally logged anywhere.
• [x] I have added any necessary documentation (if appropriate)
• [x] I have run make fmt and formatted my code
• [x] For CFN Resources: I have released by changes in the private registry and proved by change works in Atlas

Further comments