(This is the updated version of the solve which places the Critelli in a good Critelli placement.)
"There's actually a few variations of this children's song in circulation, with different verses condemning Ravari to his fate in varying ways. There's also THIS version, which I just made up.

An intriguing road, Ravari:
Make a broken wheel with speed.
I'll take sixteen, Ravari,
of the quicksilver I'll need

It's a simple road, Ravari,
Till you take another look.
Projection, dear Ravari,
Isn't all this puzzle took.

With some sequencing, Ravari,
Lesser metals get through fast.
Another trick, Ravari:
Put the odd quicksilver last.

It's a tricky road, Ravari.
For the lead it must be known
Its output, dear Ravari,
Simply happens on its own~

It's a lonely road, Ravari,
And you face a lonely fate.
It's bad for you, Ravari,
But I think I have min rate!

And then there's a line break to separate the lore from the solve notes.

This was a super neat puzzle! As I mentioned in the poem, min rate seemed really easy at first, but then I realized the tin has to get through while somehow projecting only once, and the period makes it so if you're not careful, you don't have enough period to get everything to its respective output. Getting the tin, and even the iron through ended up being simple enough. All I needed to do was alternate between higher ranking metals and lower ranked ones. Pulling the singular outputted quicksilver last gave me the time I needed to move the last copper onto its output. The machine almost doesn't output a lead, but the movement of the final copper pulls JUST ONE extra lead, which eventually makes its way to the lead output as the machine loops. I discovered this completely on accident, initially outputting a lead intentionally in the middle of projecting the first gold, via turning arm 4 counter-clockwise and then back, but quickly realizing once I had the machine running that the 6 instructions spent on that process were completely unnecessary. I know for a fact shaving those brings me down to min instructions for 110G. I also know for a fact that arm 4 MUST be a hexarm in order to pull outputs fast enough to keep up with the glyph of projection needing to fire near constantly. I am 99.9999999% certain that this solution is FULLY optimal. Which concerns me. I am not that goated of an alchemist. I doubt I'll be the only alchemist clever enough to spot this. I'm predicting an at least 5 way tie for first. Potentially even 10 ways. I'm intrigued to see the results! Good luck to the solutions shown after mine arbitrarily!

Signed, Trixie Kagami, the Cheshire Alchemist: Getting Min Rate On A Puzzle For Real This Time Since 2025 (And also possibly winning???? What?????)