So I copy the whole project from my program [...]
This is overkill. You do not need to copy the whole project. Look under the project for a subfolder named bin\Debug (or bin\Release, depending on how you compiled the project). You only have to copy the content of the bin\Debug folder. If there are .pdb files in the folder, you may omit them; they are not necessary.
Once you have copied these files to a folder in the target computer, just run the file that ends in .exe. You can run it by double-clicking it from Windows Explorer, or typing its name from a console window.
This is valid for "Console App (.NET Framework)". And it presumes that the target computer already contains the same or newerversion of the .NET Framework that you selected from the Project Properties. Most Windows versions already have the .NET Framework, but it may be a lesser version than the one selected by default in Visual Studio. If this happens, you need to either install a newer version of the .NET Framework in the computer, or change the project properties to compile for an older version.
If you are doing "Console App (.NET Core)", then things are different. It does not use the Framework. Instead, you need to either install the Core libraries or generate an executable that includes them. This is quite different from using the .NET Framework, so if you need instructions for Core I suggest opening a new thread in the forum.