ci(release): fix publish-lib-init-pinned-tags job dependencies [backport 2.21] (#12844)

Backport 268284e from #12670 to 2.21.

## Checklist
- [x] PR author has checked that all the criteria below are met
- The PR description includes an overview of the change
- The PR description articulates the motivation for the change
- The change includes tests OR the PR description describes a testing
strategy
- The PR description notes risks associated with the change, if any
- Newly-added code is easy to change
- The change follows the [library release note
guidelines](https://ddtrace.readthedocs.io/en/stable/releasenotes.html)
- The change includes or references documentation updates if necessary
- Backport labels are set (if
[applicable](https://ddtrace.readthedocs.io/en/latest/contributing.html#backporting))

## Reviewer Checklist
- [x] Reviewer has checked that all the criteria below are met 
- Title is accurate
- All changes are related to the pull request's stated goal
- Avoids breaking
[API](https://ddtrace.readthedocs.io/en/stable/versioning.html#interfaces)
changes
- Testing strategy adequately addresses listed risks
- Newly-added code is easy to change
- Release note makes sense to a user of the library
- If necessary, author has acknowledged and discussed the performance
implications of this PR as reported in the benchmarks PR comment
- Backport labels are set in a manner that is consistent with the
[release branch maintenance
policy](https://ddtrace.readthedocs.io/en/latest/contributing.html#backporting)

Co-authored-by: Brett Langdon <[email protected]>

Author: github-actions[bot]

.gitlab-ci.yml

@@ -58,39 +58,51 @@ promote-oci-to-prod:
   stage: release
   rules: null
   only:
-    - /^v[0-9]+\.[0-9]+\.[0-9]+(rc[0-9]+)?$/
+    # TODO: Support publishing rc releases
+    - /^v[0-9]+\.[0-9]+\.[0-9]+$/
   needs:
     - job: release_pypi_prod
     - job: package-oci
       artifacts: true
+    - job: oci-internal-publish
+      artifacts: true
 
 promote-oci-to-prod-beta:
   stage: release
   needs:
     - job: package-oci
       artifacts: true
+    - job: oci-internal-publish
+      artifacts: true
 
 promote-oci-to-staging:
   stage: release
   needs:
     - job: package-oci
       artifacts: true
+    - job: oci-internal-publish
+      artifacts: true
 
 publish-lib-init-ghcr-tags:
   stage: release
   rules: null
   only:
-    - /^v[0-9]+\.[0-9]+\.[0-9]+(rc[0-9]+)?$/
-  needs: [release_pypi_prod]
+    # TODO: Support publishing rc releases
+    - /^v[0-9]+\.[0-9]+\.[0-9]+$/
+  needs:
+    - job: release_pypi_prod
+    - job: create-multiarch-lib-injection-image
 
 publish-lib-init-pinned-tags:
   stage: release
   rules: null
   only:
-    - /^v[0-9]+\.[0-9]+\.[0-9]+(rc[0-9]+)?$/
+    # TODO: Support publishing rc releases
+    - /^v[0-9]+\.[0-9]+\.[0-9]+$/
   needs:
     - job: release_pypi_prod
-    - job: oci-internal-publish
+    - job: create-multiarch-lib-injection-image
+    - job: generate-lib-init-pinned-tag-values
       artifacts: true
 
 onboarding_tests_installer: