AutomatedQA.TestComplete.CSConnectedApp.dll has been added but AutomatedQA.script.dll must be used in a reference as it takes total overship over the "var" type, so other code in the file that utilize the var type for storing other data hit an error on build.
I'm afraid the articles are not very descriptive in applied use.
There are no examples of code proerply interacting in both the C# project and testing scripts.
I got as far as using the RunTest function to get TestComplete is script running mode, but after some digging I found out it doesn't actually execute anything in your scripts, talk about a misleading function name.
I then tried to utilize the Integration object that might allow me to execute my scripts functions, but there is no clear documentation on how to get that working with the intergration object provided by the Connect Object.