Improve reliability of waiting for game server to start up

[Griffon26]

The game server can take quite long to start up, especially when starting two game servers at the same time. On NA servers the timeout needed to be at least 60 from starting the server to make sure that tamods wasn't injected too early. It would be better if we could start the timeout from the time the console window appears, but it would be even better if we could access the content of the console window and not read the log file at all.