4x4x4 assembly puzzle

This is a small assembly puzzle based around a 4x4x4 set of 0.75" cubes. The final form is a 4x4x4 set of cubes. If you find yourself having trouble with the solve, a solution video is at https://youtu.be/AQlhz7089M0. A containment box for the puzzle is at https://www.thingiverse.com/thing:2697130.

NOTE: YOU WILL NEED TWO COPIES OF "PIECE 7"

Would it be important to mention that I'm the only one I know who has solved it? Comment if you solved it without looking at the solution.


EDIT #1: Somebody pointed out in the comment section that the tolerances were a bit too tight to be printed properly. This was my mistake and I apologize for any wasted filament.
My recommendation would be to use a file or sandpaper to bring faces to more reasonable tolerances. I will be updating the model as soon as I have the time to repair all the individual pieces.


EDIT #2: OK, I added some spacing between the pieces of the puzzle. There should be ~1mm between pieces. Again, sorry for any