Mathematical Enigma - IX

Geometry Level 4

\[\sum _{ \text{cyclic} }^{ }{ \frac { \sqrt { \sin A } }{ \sqrt { \sin B } -\sqrt { \sin C } +\sqrt { \sin A } } } \]

Considering \(A,B,C\) as the angles of a triangle, find the maximum value of the expression above.

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