[PR #2155/420418c1 backport][stable-4] Adjust docs publish workflow

[patchback[bot]]

This is a backport of PR #2155 as merged into main (420418c18228489ba620a75be9605e599280a736).

SUMMARY

Ref: https://github.com/ansible-community/github-docs-build/issues/92#issuecomment-2198238661

ISSUE TYPE

• Docs Pull Request
• Test Pull Request

COMPONENT NAME

docs publish on push workflow

[softwarefactory-project-zuul[bot]]

Build succeeded. https://ansible.softwarefactory-project.io/zuul/buildset/859319cd751b4ed7816c201fd681daf9

:heavy_check_mark: ansible-galaxy-importer SUCCESS in 3m 12s :heavy_check_mark: build-ansible-collection SUCCESS in 13m 27s