Find the coordinate!

Calculus Level 4

The line joining the points $$A = (1,0)$$ and $$B = (3,0)$$ subtends an angle $$ACB$$ at a point $$C = (0, y)$$ on the positive $$y$$-axis. Calculate the value of $$y$$ such that the angle $$ACB$$ is maximized.

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