Feature: Update publish trigger for docs-site

[Magnus167]

This PR changes the trigger event for publishing the docs on GitHub pages.
Currently, the docs are updated on push to main.
Given that the release notes on the docs-site require a release to be published on GitHub to generate notes for the latest version, the docs will now be pushed as part of the upload to PyPI (which itself is triggered when a release is published).
The old workflow for publishing docs still remains, but only with a workflow dispatch trigger.

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Comparison is base (3e17444) 78.79% compared to head (efe51cb) 78.79%.
Report is 1 commits behind head on develop.

Additional details and impacted files

@@           Coverage Diff            @@
##           develop    #1354   +/-   ##
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  Coverage    78.79%   78.79%           
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  Files           62       62           
  Lines         5783     5783           
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  Hits          4557     4557           
  Misses        1226     1226