I can tell you what you probably have, but think you should consult with your electrician as well. These are much more difficult to diagnose when you don’t have pictures of the working configuration and when you have individual conductors instead of Romex.
That looks like a power to box 1 then going through the light and to the box 2. Is this controlling a single light and can you get at it to look in the box? Since you have conductors going through the light, the key to confirm this will be to look at the connections in the box.
Take a look at this and see if this makes sense. The reason i believe the light box is in the middle is based upon only 3 conductors in Box 2 and the fact that the probable travelers are one color in one box and another color in the other. If this is the case, it’s nothing weird or anything, it’s just another way of wiring a switch leg. If you concur that this is what you have, post back as Inovelli has a published diagram for this.
