Dutch Mathematical Olympiad

In triangle ABC, a point $D$ lies on side $BC$ and a point $E$ lies on side $AC$ such that the line segments $BD$, $DE$, and $AE$ have the same length. The point $F$ is the intersection between the line segments $AD$ and $BE$. Angle $C$ is $68^{\circ }$. What is the size of angle $F$ in triangle $AFB$?



A) $120^{\circ }$ B) $121^{\circ }$ C) $122^{\circ }$ D) $123^{\circ }$ E) $124^{\circ }$