how thick is the partition? What kind of "circle part" does the back want to shine? Are you making a light box in the middle of the partition wall?

I don't think the general partition wall is very thick. You should consider the thickness of the light box piece and how to fix the light box piece. If it is really construction, you can buy what kind of light box piece according to your budget, whether it is fixed by punching holes

or adhesive. If these problems are determined, it will be simple to draw a construction drawing.

With the light box piece, you still plan to buy it. I think it's like making a recessed light box in the wall. If the partition thickness is limited, I suggest that you don't buy light box pieces either, just buy self-luminous materials that meet your design requirements, and it's OK to determine the fixing method. I think the overall effect will be very good.