Let
\[
A = \begin{bmatrix} 1 & -5 & 2 \\ 7 & 0 & 6 \\ 5 & -3 & 7 \end{bmatrix}, \quad
B = \begin{bmatrix} 1 & 6 & 7 \\ 3 & 8 & 4 \\ 7 & 6 & 1 \end{bmatrix}.
\]
If \( C \) and \( D \) are two \( 3 \times 3 \) matrices such that:
- \( A + C \) is symmetric,
- \( A - C \) is skew-symmetric, and
- \( B = D^\top \),
then find \( (C - D)^\top \).