Solving this puzzle brought me all the way back to working on Nightmare Fuel.  Not because of the difficulty, but because of the process.  Here, as there, I am faced with a known minimum that I feel I cannot possibly hit.  And so, instead of the usual theory-heavy backwards-building of Cycles, I went with a blissfully ignorant forward-building approach.  I made each stage as efficient as possible as I reached it, and let the chips fall where they may in the result.

That said, post-facto I was able to formulate some analysis.  

First of all, serving the Unification glyph is horribly expensive.  I had originally vaguely thought to use 3 unification stations, but ran out of gold well before reaching that stage.  I think better solves can manage it, though, by making better use of the input pause I have here.  Four, however, would surprise me.

Second, I had planned to use catalysts to duplicate in a faster and more geometry-friendly fashion on both sides. But I couldn't afford the arms for it, so everything works directly off of Berlo.  In retrospect, I think this was a good decision--the geometry challenges were not as bad as I feared.

Finally, 7 is a super annoying number of atoms, requiring additional mechanisms or finicky  programming to neatly render into pairs or quads.  My solution? Waste the initially-grabbed atom, and work with much-friendlier blocks of 6. 

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Unfortunately, I don't feel like my forward-first duct tape will place all that well.  With two unifiers acting at P4, cycles counts in the mid 30s should be achievable.  To say nothing of better approaches that can fit in a 3rd.  

Still, I enjoyed working on this.  The mindset brought me back to a simpler time, where I understood less and discovered more.  It was kinda nice.  Thanks for the budget, Haxton!