You could make it all work with this: https://www.amazon.com/dp/B07QPYSC82/

Since you're limited to 12v 4pin rgb this will accept that signal to 5v 3pin argb(jrainbow as you say).

I've had fun with the 9 TT sync controller myself since I decided to add some argb unicorn vomit to my old 2013 motherboard build. I use a basic rf controller to manage my 200mm ring trio fans. I felt your anger when I realized my $200 investment in fans wouldn't light up without countless cables and controllers.