Snap vector direction to nearest axis

I have this case when I need to get my character direction is snapped to the nearest axis. Kinda look like this.

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My solution is to find the largest axis absolute value of axis. Then, change the largest one to 1 and the others 2 with 0. Change largest axis sign with its original sign.

Example, we have Vector3(-0.5f, 0.1f, 0). The snapped direction is Vector3(-1,0,0).