I originally conceptualized this puzzle as a wasteful 7:1 recipe, where the waste could be used in an odd-out pipeline to eventually make an additional product.

I had a significant breakthrough, though, when I changed concept slightly.  This puzzle could also be thought of as a 6:1 recipe where every product is 1 atom short, and a single extra input provides enough material to complete 7 such almost-products.

This concept is visible in the final solve.  It uses mostly-straightforward single-pipeline construction, with 2 arms (7&8) creating and applying the necessary buffer.

My favorite elements are arms 1-5 building and breaking a width-style stick very efficiently, and the funny timings on arms 13 and 14 late in the tape that avoid overloading the final silver projector once the buffer runs out.