Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/16
Q:1/4=80
M:4/4
K:D
['Acec d6 FG ABAF ABAF d2c2', 'e2d2 c2>d2 c2B2 A2g2 f2e2 d2de f2fg']  
X:1
L:1/16
Q:1/4=80
M:4/4
K:D
"^Intro" |"D" d2fd"A" Acec |"D" d6 |: FG |"D" ABAF ABAF | A2"D7"fe d2c2 |"G" BdBG BdBG | 
"Em" B2gf e2d2 |"A7" c2>d2 c2B2 | A2g2 f2e2 |1,3"D" d2de f2fg |"^(A7)" a6 :|2,4"D" d2fd"A7" Acec | 
"D" d6 :: fg |"D" a4 fdfa | b2a2"D7" g2f2 |"G" g2>e2 B2>e2 |"Em" g2f2 e2d2 |"A7" c2>d2 c2B2 | 
 A2g2 f2e2 |1,3"D" d2de f2fg |"^(A7)" a6 :|2,4"D" d2fd"A7" Acec |"D" d6 :|  