[ci] Move publish-crates-locally to publish stage (#13395)

substrate/scripts/ci/gitlab/pipeline/test.yml

@@ -416,24 +416,6 @@ cargo-check-each-crate:
     - if [ "$CI_NODE_INDEX" == 1 ]; then rusty-cachier cache upload; fi
   parallel: 2
 
-publish-crates-locally:
-  stage:                           test
-  extends:
-    - .test-refs
-    - .crates-publishing-template
-  # When lots of crates are taken into account (for example on master where all crates are tested)
-  # the job might take a long time, as evidenced by:
-  # https://gitlab.parity.io/parity/mirrors/substrate/-/jobs/2269364
-  timeout:                         4h
-  script:
-    - rusty-cachier snapshot create
-    - git clone
-        --depth 1
-        --branch "$RELENG_SCRIPTS_BRANCH"
-        https://github.com/paritytech/releng-scripts.git
-    - CRATESIO_TARGET_INSTANCE=local ./releng-scripts/publish-crates
-    - rusty-cachier cache upload
-
 cargo-check-each-crate-macos:
   stage: test
   extends: