fix(deployment): Publish Starter deployment failure due to incorrec (#…

…30482) (#30483)

### Proposed Changes
* The workflow is now pointing to a new environment and using repo level
credentials to complete the deployment phase.

### Additional Info
This PR resolves #30482 (Publish Starter deployment failure due to
incorrect credentials).

.github/workflows/cicd_manual_publish-starter.yml

@@ -34,7 +34,7 @@ jobs:
   get-starter:
     runs-on: macos-13
     if: github.repository == 'dotcms/core'
-    environment: trunk
+    environment: starter
     steps:
       - name: 'Github context'
         run: |