If \( 26\left( \dfrac{2^{3}}{3}\left({}^{12}C_{2}\right)+\dfrac{2^{5}}{5}\left({}^{12}C_{4}\right)+\dfrac{2^{7}}{7}\left({}^{12}C_{6}\right)+\ldots+\dfrac{2^{13}}{13}\left({}^{12}C_{12}\right) \right)=3^{13}-a \), then \( a \) is equal to:
\( 45 \)
\( 48 \)
\( 51 \)
\( 54 \)
