test(fix): correct end to end app test logic

Author: fleetingbytes

.github/workflows/test-e2e.yml

@@ -71,10 +71,10 @@ jobs:
         run: ${{ inputs.run-test-command }}
 
       - name: Test | Run End-to-End App Test
-        run: ./tests/e2e_test_app.py
+        run: |
+          [ $(./tests/e2e_test_app.py 2>&1 | wc -l) -eq 3 ]
 
       - name: Test | Check End-to-End Test Results
         run: |
-          [ "$(wc -l < e2e-test-app-stderr.log)" -eq 3 ] && \
           [ "$(wc -l < e2e-test-logfile.log)" -eq 3 ] && \
           [ ! -s "e2e-test-logfile_root.log" ]