Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/8
M:2/4
K:Gmin
['Bd c2 ce', 'fd dB']  
X:1
L:1/8
M:2/4
K:Gmin
 B2 Bd | c2 ce | B2 Bd | (c/B/)(A/G/) FA | BB Bd | c2 ce | dg g^f | gG GG || fd dB | cd e2 | 
 fd dB | cA AF | fd dB | cd ee | (dg) g^f | gG GG ||  