Don't run docs deploy step if publish wasn't run

Author: WillsonHaw

.github/workflows/release.yml

@@ -18,6 +18,8 @@ jobs:
     name: Release
     runs-on: ubuntu-latest
     if: ${{ github.event.workflow_run.conclusion == 'success' }}
+    outputs:
+      deploy_docs: ${{ steps.changesets.outputs.publish }}
     steps:
       - uses: actions/checkout@v4
         with:
@@ -66,6 +68,7 @@ jobs:
     needs: release
     name: Deploy Docs to GitHub Pages
     runs-on: ubuntu-latest
+    if: ${{ needs.release.outputs.deploy_docs == 'true' }}
 
     environment:
       name: github-pages