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In the figure (not drawn to scale) given below, if $\text{AD = CD = BC},$ and $\measuredangle \text{BCE} = 96^{\circ}$, how much is $\measuredangle \text{DBC}?$

1. $32^{\circ}$
2. $84^{\circ}$
3. $64^{\circ}$
4. Cannot be determined