Ok, here is a starting point, at least.
So let’s go with a switch removed. I think you have what used to be a 4-way installation. I’ll tell you what it feels like and then you can test to verify. Once we’re certain, we can figure out the Inovelli wiring.
I think that you have power starting in the multi-gang box. If I understand you correctly there is a 2-wire and a 3-wire there. The 2-wire is going to the light. The black on the 2-wire is on the black terminal of the 3-way switch and the accompanying white is bundled with other neutrals.
Still in the multi box, you have a 3-wire with the red and the white terminals connected to the brass terminals. The black on the 3-wire is connected to a constant hot. That 3-wire is going to the four way switch.
At the single-gang 4-way switch box, the red and white, which are travelers, are connected to an upper or lower set of terminals. There is another 3-wire there with the white and red connected to the other set of terminals. The blacks are joined together, which is functionally passing a constant hot to the end of the line.
That 2nd 3-wire goes to where the 3rd switch would have been. The third switch would be a 3-way. The hot black would have been connected to the black terminal and then the hot is switched back toward the light via one traveler or the other.
So as I’m writing this I wonder how you remove the third switch and get this to work. I think you could wire two conductors together and cap off a third.
In any event, if I am correct, your diagram looks like this. The only thing that is different (besides the missing switch), is that in the diagram, the hot is sent to the far switch via the whites, whereas in your case, I think it’s via the blacks. Color doesn’t matter, it works the same.
See if this makes sense. You’ve already confirmed the constant hot and it makes sense that the lights don’t work if you untwist them in the multi-box.
So I’m not sure how this works without the third switch. Also wonder about the Romex going away from the light, although I suppose a light could have been removed too.
One test you can do is to pull the black off the switch from the 2-wire in the multi box that I believe is going to the light. Using a meter, check for voltage between it and the neutral. Also check between the black and the ground. I’m guessing 0V in either case. If that is correct, touching the black to the black hot bundle will turn the light on.