Problem

In #8380, I forgot to update the docs actions for nightly cleanup and archives.

Solution

I have updated the relevant actions to use the token. Also performed reformatting for consistent standards.

Testing Completed

I generated 2.14.1 archive docs through a manual workflow dispatch (needed manual renaming) for skript-docs repo.

Supporting Information

n/a

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Completes: none
Related: none
AI assistance: none