What is the best approach to Interacting with applications on other computers on the network

My question is not in regards to running my tests on multiple computers. This is a question about how I can interact with applications on a computer while running a test on a separate computer. Let me give a general explanation of our setup to help make this clear. 

We have a redundant system that is hosted on 2 servers. Let's call them Server 1 and Server 2. We then have other computers that are workstations that run the application. This is where I will be running my tests.  So if I want to trigger an event and verify it occurred, the manual process would be to go to the Server that is currently acting as primary and trigger the event. Then I would go to a workstation and verify the event is displayed.  Is there a way to tell TestComplete to go perform certain actions on other machines on the network for a given test? I thought Network Suite might do it but everything I read says it is depreciated.