updated variable name and messages

Author: KittyChiu

.github/workflows/deploy-merged-pr.yml

@@ -18,7 +18,7 @@ jobs:
       PR_NUMBER: ${{ github.event.pull_request.number }}
       SOURCE_REPO: ${{ github.repository }}
     outputs:
-      should_run: ${{ steps.filter.outputs.should_run }}
+      should_sync: ${{ steps.filter.outputs.should_sync }}
     steps:
       - name: Check Changed File Paths
         id: filter
@@ -36,11 +36,11 @@ jobs:
 
           NON_WORKFLOW_CHANGES=$(echo "$CHANGED_FILES" | jq --argjson exclude "$EXCLUDE_FILTER" '[.[] | select(. as $f | $exclude | any(. as $p | $f | startswith($p)) | not)] | length')
           if [ "$NON_WORKFLOW_CHANGES" -gt 0 ]; then
-            echo "PR contains changes outside .github/workflows/ — proceeding."
-            echo "should_run=true" >> $GITHUB_OUTPUT
+            echo "PR contains changes outside filter paths — proceeding."
+            echo "should_sync=true" >> $GITHUB_OUTPUT
           else
-            echo "All changes are under .github/workflows/ — skipping workflow."
-            echo "should_run=false" >> $GITHUB_OUTPUT
+            echo "All changes are under filter paths — skipping workflow."
+            echo "should_sync=false" >> $GITHUB_OUTPUT
           fi
 
   check-merge-state:
@@ -128,7 +128,7 @@ jobs:
 
   dispatch-to-internal:
     needs: [check-file-changes, check-merge-state]
-    if: needs.check-merge-state.outputs.checks_passed == 'true' && needs.check-file-changes.outputs.should_run == 'true' && github.event.review.state == 'approved'
+    if: needs.check-merge-state.outputs.checks_passed == 'true' && needs.check-file-changes.outputs.should_sync == 'true' && github.event.review.state == 'approved'
     runs-on: ubuntu-latest
     env:
       SOURCE_REPO: github/github-well-architected