If you want to make games, use an existing engine. Unreal Engine, Unity, Godot, and Bevy are good choices. You'll learn the higher level issues of graphics, not how to push pixels around. The real problem is making it fun.
If you want to do 3D engine programming, be aware that there are too many bad game engines. In Rust land, where I am, there are three failed renderers, one unfinished one, and the one inside the Bevy engine. Those are the major projects. There are many other "I'm going to build a game engine" projects. Building a game engine takes about two years to get to the My First Renderer point. Getting to big, highly detailed, dynamic scenes is a much bigger job. Be aware of the scale difference between the first demo and a useful engine.
If you want a job, be aware that the game industry sucks. Pay is lousy, hours are lousy, jobs end when the project is completed, and, like Hollywood, there's an army of wannabees wanting in. Also, right now, because of the collapse of the Metaverse thing, there's a glut of experienced people.
Then there's mobile. Everything is a cram job. Not enough screen, not enough compute, not enough GPU, not enough battery.
This is why most indy games now are 2D. That's do-able. Often in HTML/JavaScript.