Knowing $ω$

Let $A, B, C, D$ (written in the order from left to right) be four equally-spaced collinear points. Let $ω$ and $ω^{'}$ be the circles with diameters $AD$ and $BD$ , respectively. A line through $A$ that is tangent to $ω^{'}$ intersects $ω$ again at point $E$ . If $AB=2\sqrt{3}$ cm, what is $AE$ (in centimeters)?