CI: Use new documentation previewer (pandas-dev#57112)

Author: datapythonista

.github/workflows/comment-commands.yml

@@ -24,12 +24,10 @@ jobs:
     concurrency:
       group: ${{ github.actor }}-preview-docs
     steps:
-      - run: |
-          if curl --output /dev/null --silent --head --fail "https://pandas.pydata.org/preview/${{ github.event.issue.number }}/"; then
-            curl -H "Authorization: token ${{ secrets.GITHUB_TOKEN }}" -d '{"body": "Website preview of this PR available at: https://pandas.pydata.org/preview/${{ github.event.issue.number }}/"}' https://api.github.com/repos/${{ github.repository }}/issues/${{ github.event.issue.number }}/comments
-          else
-            curl -H "Authorization: token ${{ secrets.GITHUB_TOKEN }}" -d '{"body": "No preview found for PR #${{ github.event.issue.number }}. Did the docs build complete?"}' https://api.github.com/repos/${{ github.repository }}/issues/${{ github.event.issue.number }}/comments
-          fi
+      - uses: pandas-dev/github-doc-previewer@master
+        with:
+          previewer-server: "https://pandas.pydata.org/preview"
+          artifact-job: "Doc Build and Upload"
   asv_run:
     runs-on: ubuntu-22.04
     # TODO: Support more benchmarking options later, against different branches, against self, etc

.github/workflows/docbuild-and-upload.yml

@@ -90,10 +90,3 @@ jobs:
         name: website
         path: web/build
         retention-days: 14
-
-    - name: Trigger web/doc preview
-      run: curl -X POST https://pandas.pydata.org/preview/submit/$RUN_ID/$PR_ID/
-      env:
-        RUN_ID: ${{ github.run_id }}
-        PR_ID: ${{ github.event.pull_request.number }}
-      if: github.event_name == 'pull_request'