Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/8
M:3/4
K:G
['[GB]2 z6']  
X:1
L:1/8
M:3/4
K:G
 G [DA] | [GB][Bd] [Bd]2 [eg]>[ce] | [ce]2 [Bd]2 [Ac] [Ac] | [GB]2 [GB]2 [Bd] [Bd] | [GB]2 z6 | 
 z6 [B,G] [DA] | [GB][Bd] [Bd]2 [eg]>[ce] | [ce]2 [Bd]2 [Ac] [Ac] | [GB]2 [GB]2 [Bd] [Bd] | 
 [GB]2 z6 [FA]/ [FA]>[Ac] | [DF]2 [DF]2 [Ac]>[Ac] | [DA]2 z2 [eg]>[ce] | [Bd]2 [GB]2 [Bd]>[Bd] | 
 [GB]2 z6 | z6 ||  