I don't bother with using the publish feature because it has too much potential for problems. Just make sure .NET 4 is installed on the target machine and then at bare minimum copy the AdvancedHMI\bin\Debug directory to the target and create a shortcut to the exe file. This is referred to as XCopy deployment.
However, I do recommend copying the complete solution to the target. This gives you a backup and if someone else wanted to make edits, they can copy everything they need from the target machine.