So I cleaned up the lamp model and put in proper math so I could scale pieces of it a bit easier. I also fixed the shade panels a bit so they look closer to the final image. I actually plan for the shade to go around the frame but tbh I could trim the outside which would help hide seams and stuff anyway.
The power supply, a relay, a fan, and 2 microcontrollers will go inside along with wires to the LEDs and bookcase. I think my total power for the lamp and the book case is only about half of the total capacity of the PSU so I even have room to add more lights (possibly a wall panel)