FYI your color codes seem to be the same as mine. I thought i had a 4.5ufd start capacitor laying around but couldn’t find it so i bought a new one on ebay. https://www.ebay.com/itm/CBB61-Ceiling-Fan-Motor-Capacitor-3uf-4-4-5-6-10-15uf-250V-AC-50-60Hz-2-Wires/183933436015?ssPageName=STRK%3AMEBIDX%3AIT&var=691628440696&_trksid=p2057872.m2749.l2649 I chose not to use the one in my controller because if this does not work, I want to go back and re-wire back in old controller and not have it bastardized. For same reason, i was careful to cut wires on junction side furthest from old controller in middle of wire (didn’t take pic) so i could reconnect if necessary
I wired it as directed from the link from @jtronicus. The good news is i got some response of different fan speeds and light brightness so I think this is do-able. The bad news; after installing device drivers the fan/light is unresponsive (the switch and ST app seem to be communicating LZW36 Fan + Light SmartThings Device Handler Update [07/17/2020] - #13 by mgreenb561
Waiting for a response to that link and will keep you posted, but as stated i think it is do-able. I’m thinking prob is communicating with module… waiting f/ response from @EricM_Inovelli or someone above my pay grade