Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/4
Q:1/4=160
M:2/2
K:G
['G G B2', 'g/f/e/d/ B/c/d/B/']  
X:1
L:1/4
Q:1/4=160
M:2/2
K:G
 G G B2 | A A c e | G G B2 | d d e g || g/f/e/d/ B/c/d/B/ | A A c e | g/f/e/d/ B/c/d/B/ | d d e g | 
 g/f/e/d/ B/c/d/B/ | A A c e | G G B2 | d d e g |]  