As someone who is just about to finish a degree in games programming:
Study CS and follow tutorials online to learn gaming tools. I've spent the last few years of my life learning unity's C# and other tools around it just to start looking for jobs to realize, firstly, my uni completely fucked me by not teaching unreal (the uni and epic games HQ are practically on the same fucking bus line), and on top games employers are looking for experienced devs almost exclusively. And of those, half of them are going to be an insulting pay cut, and the rest are going to be a soulless SaaS call of duty or fortnite model. Working in games isn't very worth it unless you can get hired by a AAA studio and love their game too. Probably best to find a standard dev job and make a game on your own time as a passion project.
Oh, also non-compete clauses are going to mean if you work for AAA, you immediately can't make your own stuff anymore either.
Hoping it's not a mistake but I'm early enough in my career I'm still prepping for my first indie game and I'm currently pivoting to godot. I want to make pc and mobile titles, and I was already upset over how unity treated their customers and now they're laying off 25%... I'd rather try something else while I have time to learn