A second computation puzzle in one tourney? we are so back, already excited about getting to see everyone else's designs

Syrup separation is what I decided to call the 'tech' for separating a pair of unknown fire/salt into four different positions using a triplex bonder and a debonder in a lustrous syrup-like setup, which is used around both the triplex bonders in my solve. As it turns out, conditionals on pairs of atoms are just as easy as conditionals on single atoms.

Since people mentioned that the puzzle is very deep, I wonder if I missed something since my algorithm feels very simple and I could not come up with other sensible concepts. I'm excited about potentially getting to see some crazy sauce.

(The rest of the notes are mostly written as explanation for the host, so feel free to choose to read them out or not)

Conceptually, this solve can be broken down in three sections that each use different atoms from the input and different auxiliary inputs, meaning their function can be separated and optimized pretty well (although I haven't done much optimization and there probably is some stuff left to find, like saving about 10 points for programming 6P).

The first section (Ravari's wheel, disposal) uses the first two atoms in the input and converts them into one of iron, copper, silver or gold by attaching them to the wheel at different timings. This metal atom will become the first atom in the output.

The second section (animismus, purification) uses the fifth input atom and converts it into either lead or tin by conditionally blocking the purification glyph output. This will become the second atom in the output.

The third section (projection, output) uses the third and fourth input atoms to process the 'intermediate' output made by the other sections and then outputs it. The options are:
(SF) - do nothing
(FF) - project the second atom twice
(FS) - project the second atom four times
(SS) - swap the two atoms