Switch service-types-authority-tox-publish for promote

Switch the job service-types-authority-tox-publish to parent to
opendev-tox-docs so that as a followup we can use a promote job.

This is a step in changing the service-type website to AFS
publishing.

Change-Id: Ibeb60fd5805befc21c9d6d00fa7a615a106393cf
Depends-On: https://review.opendev.org/708517
Task: #37723
Story: #2006598

.zuul.yaml

@@ -9,17 +9,16 @@
       jobs:
         - service-types-authority-tox-publish
         - openstack-tox-pep8
-    post:
+    promote:
       jobs:
-        - publish-service-types-authority
+        - promote-service-types-authority
+
 - job:
     name: service-types-authority-tox-publish
-    parent: tox
+    parent: opendev-tox-docs
     description: |
-      Run tests for service-types-authority project.
+      Publishes files of service-types-authority project.
 
       Uses tox with the ``publish`` environment.
-    success-url: html/
-    post-run: playbooks/fetch-publish-output.yaml
     vars:
       tox_envlist: publish

playbooks/fetch-publish-output.yaml

@@ -1,6 +0,0 @@
-- hosts: all
-  roles:
-    - role: fetch-sphinx-output
-      sphinx_output_src: "{{ zuul.project.src_dir }}/doc/build/html"
-      zuul_executor_dest: "{{ zuul.executor.log_root }}"
-      when: zuul_success | bool