mirroring constrained geometry across different sketches

[AagAag]

I have finally made this perfectly and fully constrained "tile" with joints. The idea is to 3D-print a bunch of such tiles, such that they can strongly and permanently joined together. You may discern that the receptacles have some clearance compared to the plugs.

Now, having drafted two sides with all relevant constraints, I would like to mirror the entire geometry to the other two sides. I cannot figure out a way to do that. At the very least, I would like to mirror the sketches. In an ideal world, I would also mirror the bodies, but note that they would have to be turned around - because otherwise a plug would encounter another plug rather than a receptacle when joining the tiles.

Any advice would be enormously appreciated!

[AagAag]

OK, I have made boxes until I got blue in the face. Here it is: https://a360.co/2EC561m

It is fully parametric and constrained, and it should allow to quickly produce 3D-printable, pluggable box parts that can be joined into boxes much larger than the max volume of the printer. Needless to say, I'd appreciate any and all critique and/or suggestions regarding my design choices.