Here's screenshot's of all four faces of each of the three artifacts. Don't worry, this is not the solution. I thought you might find this helpful while working on it. I found it helpful to isolate a design face while turning off the other two artifacts, then positioning it before combining them.
Show me the correct bottom left artifact face
Show me the correct top artifact face
Show me the correct bottom right artifact face
Two overlapping design elements cancel each other out
A third overlapping design element makes it visible again
The correct bottom left artifact face,
The correct top artifact face,
The correct bottom right artifact face,