ci(release): fix publish-lib-init-pinned-tags job dependencies (#12673)

## Checklist
- [x] PR author has checked that all the criteria below are met
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- 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
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- 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
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[applicable](https://ddtrace.readthedocs.io/en/latest/contributing.html#backporting))

## Reviewer Checklist
- [x] Reviewer has checked that all the criteria below are met 
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[API](https://ddtrace.readthedocs.io/en/stable/versioning.html#interfaces)
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Author: brettlangdon

.gitlab-ci.yml

@@ -93,25 +93,33 @@ promote-oci-to-prod:
     - 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]
+  needs:
+    - job: release_pypi_prod
+    - job: create-multiarch-lib-injection-image
 
 publish-lib-init-pinned-tags:
   stage: release
@@ -120,7 +128,8 @@ publish-lib-init-pinned-tags:
     - /^v[0-9]+\.[0-9]+\.[0-9]+(rc[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:
@@ -163,4 +172,3 @@ deploy_to_di_backend:manual:
     UPSTREAM_COMMIT_AUTHOR: $CI_COMMIT_AUTHOR
     UPSTREAM_TAG: $CI_COMMIT_TAG
     UPSTREAM_PACKAGE_JOB: build
-