Ceva or Menelaus?

Geometry Level 1

In triangle \(ABC,\) \(E\) lies on \(AC\) and \(F\) lies on \(AB\) such that \(FE \parallel BC.\) \(P\) is the intersection point of \(BE\) and \(CF,\) and extension of \(AP\) meets \(BC\) at point \(D.\) Given that \[AE=2, \quad CE=3, \quad AD=7,\] find length of \( AP.\)

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