I Am Proud Of This Tangent

Geometry Level 5

\(D\) lies on segment \(BC\), \(CE\) is tangent to circumcircle \(\odot ABD\) at \(E\), and \(\angle CAD=\angle BCE\).

If \(\frac {5}{3}BC=AC+AB\) and \(AC=33\). Find \(CD\).

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