\[ \displaystyle \sum^{m}_{r=0} \begin{vmatrix} 2r-1 & \binom{m}{r} & 1 \\ m^2-1 & 2^m & m+1 \\ \sin^2 (m^2) & \sin^2 (m) & \sin^2 (m+1) \end{vmatrix}\]

Find the value of the above sum.

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