FOR SYNTH PROGRAMMERS AND/OR MUSIC PRODUCERS: Who played which synth parts in Let's Go Crazy by Prince?

Hi, I am mixing these raw multitracks of Let's Go Crazy by Prince, and I want to sum the synths into Dr. Fink's parts and Lisa's parts. I'm pretty sure Dr. Fink played the intro Oberheim organ line, but there are other layers like percussive synths, synth bells, and sawtooths. There are 7 synth tracks. If someone can tell me which synth parts go to what person, that would be amazing!

Correct me if I'm wrong, but my assumption would be:

Synth 1: Dr. Fink

- saw/brass-like licks, cowbell loop (OD from drum machine?), end FX

Synth 2: Dr. Fink

- skinnier layer of saw pitch bends

Synth 3: Dr. Fink

- Oberheim organ

Synth 4: Lisa Coleman

- string machine punch in after piano thing

Synth 5: Lisa Coleman

- stabs with longer attack during the first verse + pad during Wendy's guitar riff

Synth 6: Lisa Coleman

- bell-like lick, more string machine patch stuff, end saw pad

Percussive Synth: Lisa Coleman

- percussive stabs

Background Vocal 3 (Synth Overdub in Vox Track): Prince

- literally a 3-note synth line with a long release