Dungeons & Dragons Dice Container

I printed jaseheuer's remix at 115% (I have a lot of dice!), but the first time I printed it, I had 3 issues:

1. I printed the lid first because I wanted to experiment with a dual-color print (I'd never done that before), so I printed it in black using support with the opening down so I could pause the printer and print the D&D logo in red on top. When I took the print off the printer and removed the support, I noticed that the logo profile extended through the lid so it was visible on the inside of the container (see last photo), and I didn't like that.

2. Next, I printed the ring of bricks to go around the lid. I used gray filament for this and when I went to assemble it with the lid, I noticed there were 3 holes on each side of the ring where the part was just too thin & I would be able to see the black lid through the ring (see second-last photo). I assembled the ring onto the lid anyway, but it was super tight & I couldn't get it off afterwards - no room for glue, as jaseheu