If \(\left|e^{e^z}\right|=1\) for a complex number z = x + iy, x, y ∈ ℝ, then which of the following is true?

1
x = nπ for some integer n. 
2
y = (2n + 1)\(\frac{\pi}{2}\)  for some integer n.
3
y = nπ for some integer n. 
4
x = (2n + 1) \(\frac{\pi}{2}\) for some integer n.

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