Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/4
M:3/4
K:F
["c'/c'/ c'", 'g/g/ g', 'g f e d']  
X:1
L:1/4
M:3/4
K:F
 c'/c'/ |:"C7" c' b g | e2 g/g/ |"F" g f c | A2 d/c/ |"C7" B c e | B c e |1"F" A c f | 
 a2 c'/c'/ :|2"F" f c a | f z g/g/ |:[K:C]"C" g e g | c'2 e/e/ | e c e | g2 g/a/ |"G7" g3/2 f/ f |1 
 d2 g/a/ |"C" g3/2 e/ e | c2 g/g/ :|2"G7" g a b |"C" c' g e | c z ||[K:Bb] d/f/ |:"Bb" b a g | 
 f e d |"F7" f e3/2 d/ | e2 F | e/f/ a3/2 f/ | a3/2 g/ f/e/ |"Bb" d/f/ b3/2 f/ | b2 d/f/ | b a g | 
 f e d |"F7" f e3/2 d/ | e2 f | a g f | e d c |"Bb" B d f |1 b z d/f/ :|2 b z z |]  