Let \( z \) be a complex number such that the magnitude of \( z \) is 1. Consider the ellipse defined by the equation \(\frac{x^2}{4} + \frac{y^2}{1} = 1\) and the circle defined by \((x - 1)^2 + y^2 = 1\). If \( z \) represents a point on the ellipse and \( w \) represents a point on the circle, find the minimum possible distance between \( z \) and \( w \) in the complex plane. Let's think step by step and output the final answer within \boxed{}.
user