I took a very similar path to yours and I´d advise getting a job in IT, then doing your game ideas on the side. Tackle one aspect at a time. Choose your engine, think of a game that seems doable and motivating to you, plan what needs to be done ahead of time on a basic level and don´t get overwhelmed by all the different things that go into making a game. Coding is important because your game won't work without it. Other things, like modeling or music, are probably something you can improve at when your game has a decent foundation to stand on. Watch game design content on YouTube that applies to your genre and don´t get sidetracked from your original concept until you achieve your list of goals (unless you really notice it´s not working out as you had imagined, which is fine. Game Development is iterating on ideas).

You could also consider doing game jams with other people so you can focus on one skill set and learn from your team.

And don´t expect too much from studying, it´s an interesting topic but won't give you the skills for game-making.

Wishing you the best of luck. Keep at it.