The arrangement on the recording is :
Verse 1 CP solo Verse 2 CP solo Middle Big Band Verse 3 CP solo Bridge(Modulation) Big Band Middle Piano Verse 4/Coda Big Band then CP
The version here is a shortened variation of the above that avoids the modulation :
Verse 1 as per CP solo Verse 2 as per CP solo Middle no attempt at emulating the big band sound – I just follow the melody embellished with a few chords Verse 3/Coda first ½ of CP verse 3 tacked onto 2nd half of CP verse 4.
There are some difficult bits in this – especially the use of the C pedal to get the very fast grace notes he uses.
Ultimately, I prove here that a PSG is not the same thing as a saxophone (just as well, or I'd be even more unpopular with the neighbours).