Fix preview/postmerge doc publishing conflict.

This removes the GHA to push to pages and instead just publishes the `gh-pages` branch to pages.  It also changes our doc publishing to work by just publishing to that branch.

Author: billnapier

.github/workflows/publish_docs.yml

@@ -11,8 +11,8 @@ permissions:
   id-token: 'write'
 
 jobs:
-  build:
-    name: "Build Docs"
+  build-and-deploy:
+    name: "Build and DeployDocs"
     runs-on: 'ubuntu-latest'
     steps:
     - uses: 'actions/checkout@v4'
@@ -21,18 +21,11 @@ jobs:
       with:
         src: 'docs'
         dst: 'generated-pages'
-    - name: 'Upload artifact'
-      uses: 'actions/upload-pages-artifact@v3'
+    - name: 'Install rsync'
+      run: 'apt-get update && apt-get install -y rsync'
+    - name: 'Deploy Docs'
+      uses: JamesIves/github-pages-deploy-action@v4
       with:
-        path: 'generated-pages'
-  deploy:
-    name: "Deploy Docs"
-    environment:
-      name: 'github-pages'
-      url: '${{ steps.deployment.outputs.page_url }}'
-    runs-on: 'ubuntu-latest'
-    needs: 'build'
-    steps:
-      - name: 'Deploy to GitHub Pages'
-        id: 'deployment'
-        uses: 'actions/deploy-pages@v4'
+        folder: generated-pages 
+        force: false
+        clean-exclude: pr-preview/