Hi and welcome to the Testiny forum!
I’m curious how you added your automation suite to the Test Cases section?
The Test Cases section is intended for manual test cases.
The Automation section for automated test results and, in future, for automated test cases.
And I think you want to link automated results to manual test cases or at least show the latest results for automated tests.
Unfortunately, both these functionalities are not available, yet. There’s a feature request here and I can spoiler that we are actively working on that feature.
Best regards,
Alex