Update publish-docs.yml

Add permissions.
Correct formatting.

.github/workflows/publish-docs.yml

@@ -8,6 +8,10 @@ on:
     types:
       - completed
 
+permissions:
+  contents: write
+  actions: read
+
 jobs:
   publish-docs:
     name: Publish Docs
@@ -26,8 +30,8 @@ jobs:
       - name: Setup python
         uses: actions/setup-python@v5
         with:
-          python-version: '3.10'
-          cache: 'pip'
+          python-version: "3.10"
+          cache: "pip"
           cache-dependency-path: |
             docs-requirements.txt
       - name: Install mkdocs