Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/8
Q:1/4=120
M:4/4
K:G
['G2 GB A2', 'dBge dBge']  
X:1
L:1/8
Q:1/4=120
M:4/4
K:G
"^Brisk" D | G2 GB A2 Ac | BgdB cAFD | G2 GB A2 Bg | dBAB G3 :: d | dBge dBge | dBge d2 (Bc) | 
 dBge dBge | dBgB AFTED | G2 GB A2 (Bg) | dBAB G3 :|  