In a business object you can see these options.
Open the object and double click on the description box
This will open the properties of that business object
Under the information tab you can see the three run modes
login to the resource and run automate.exe from command line using switches /public /resourcepc
or you can check if the blue prism server service is running on that PC or not
if any of this doesn't work restart the resourcepc and run blue prism and refresh control in the IC the resourcepc...