Generate error annotations when not publishing a check

Using the GitHub Actions to create/update a check with annotations have
multiple drawbacks, and doesn't work well in repositories with complex
workflows. Create error annotations when skip publish option is set,
without using the GHA REST API.

action.js

@@ -58,6 +58,17 @@ const action = async () => {
 
     if (skipPublishing) {
         core.info('Not publishing test result due to skip_publishing=true');
+        for (const annotation of annotations) {
+            const properties = {
+                title: annotation.title,
+                file: annotation.path,
+                startLine: annotation.start_line,
+                endLine: annotation.end_line,
+                startColumn: annotation.start_column,
+                endColumn: annotation.end_column
+            };
+            core.error(annotation.message, properties);
+        }
         return;
     }