I am code programmer also and when I first started going to school and learning about game programming it was all a great big headache me for too. I then later learned that most videogames are artwork in detail and then require resources from a artist perspective. So, that didn't work for me.
I like programming so I am looking for game servers as an entry path for my career to start, rather than videogame development.
I suggest that you download GoDot, Unreal, and Unity engines to experience then environment in them and get a feel for where programming is implemented into that type of software.