Ok then you'll want to add your application's icon to the system tray. There are plenty of tutorials online to do just that, which to my understanding are relatively simple.
To make your program start as a system tray icon, use the code below:
HWND hWnd = GetConsoleWindow();
// rest of program goes here
Now if the above does not work, I've found some valuable links walking you through how to do this
Below is with the use of a VS addon called Qt, which I just found out is pretty interesting. With it you could make a system tray icon simply by using the tutorial below. I don't expect you to use it, but you may find it enticing to use one day:https://qt-project.org/doc/qt-4.8/desktop-systray.html