chore(ci): fix typo in doc publishing workflow

[dreamorosi]

Description of your changes

This PR fixes an issue in the workflow that publishes the docs after a PR that changes files related to them has been merged. As described in #1348, the workflow had a typo that caused it to fail immediately on startup.

The PR corrects the typo and also removes some extra lines, as well as one of the paths that can trigger the workflow (examples/**). This path was present in the workflow because in the Python repository the code snippets are under that path. In this repo however the snippets that are placed in the docs are under the docs path, so the extra path is unnecessary.

Once merged the PR closes #1348.

How to verify this change

Check the next workflow run.

Related issues, RFCs

Issue number: #1348

Checklist

• My changes meet the tenets criteria
• I have performed a self-review of my own code
• I have commented my code where necessary, particularly in areas that should be flagged with a TODO, or hard-to-understand areas
• I have made corresponding changes to the documentation
• I have made corresponding changes to the examples
• My changes generate no new warnings
• The code coverage hasn't decreased
• I have added tests that prove my change is effective and works
• New and existing unit tests pass locally and in Github Actions
• Any dependent changes have been merged and published
• The PR title follows the conventional commit semantics

Breaking change checklist

Is it a breaking change?: NO

• I have documented the migration process
• I have added, implemented necessary warnings (if it can live side by side)

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