ci: Move the docs PR job to before api docs publish (#2300)

Author: bizob2828

.github/workflows/post-release.yml

@@ -36,11 +36,11 @@ jobs:
     - name: Get Created Tag
       id: get_tag
       run: echo "latest_tag=$(cat package.json | jq .version)" >> $GITHUB_OUTPUT
-    - name: Publish API Docs
-      run: npm run publish-docs
     - name: Create Docs Website PR
       run: node ./bin/create-docs-pr.js --tag v${{ steps.get_tag.outputs.latest_tag }}
       env:
         GITHUB_TOKEN: ${{ secrets.NODE_AGENT_GH_TOKEN }}
         GITHUB_USER: ${{ vars.NODE_AGENT_CI_USER_NAME }}
         GITHUB_EMAIL: ${{ vars.NODE_AGENT_CI_USER_EMAIL }}
+    - name: Publish API Docs
+      run: npm run publish-docs