A lot of reflections

Geometry Level 2

Triangle ABCABC has vertices A=(0,1),A = (0,1), B=(1,0),B=(1,0), and C=(0,0)C=(0,0) in the coordinate plane.

The insides of the sides are lined with mirrors, and then a laser beam is fired from the origin with a slope of 314379.\frac{314}{379}.

Which corner of the triangle will the laser beam hit first?

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