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I do not want to discourage you, if you really want something and you try hard, you may succeed.

But you really should not use the phrase "making a first game" and Quake 3 Arena in same context.
You seem to be a graphics designer so you probably just understimate the programming part of games.

Trying a less complex project like a Pong game, or if you want a little challenge Tetris will give you much more knowledge and confidence for your future projects than struggling for years on something as big as a FPS.