Set up static site deploy from publish branch (#533)

Author: ahouseholder

.github/workflows/deploy_site.yml

@@ -5,9 +5,10 @@ on:
   # Allows you to run this workflow manually from the Actions tab
   workflow_dispatch:
 
-  # Runs on pushes targeting the default branch
+  # Runs on pushes targeting specific branch(es)
   push:
-    branches: [main, staging]
+    branches:
+      - publish
 
 
 # Sets permissions of the GITHUB_TOKEN to allow deployment to GitHub Pages