Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/8
M:2/2
K:G
['GB B2', 'GA BE E2 cABG |1 AGFG A2']  
X:1
L:1/8
M:2/2
K:G
 GB B2 GBdB | GBBG FGAF | GB B2 GBdg |1 ecAG FGAF :|2 ecAG FGAc |: BE E2 BEGA | BE E2 A2 GA | 
 BE E2 cABG |1 AGFG A2 GA :|2 AGFG AcBA ||  