This is the closest I have seen to cardinal chaos and I love it.  The LexC of this solution is in the title; it takes 14 outputs before it reaches its 2/9P steady state.  The general idea is that atoms from dispersion enter a circuit of length 12 in pairs.  Any atom eventually ends up calcifying, converting to fire, and triplex bonding to its neighbor.  Meanwhile dispersion is just attempting to proc every tape loop.  When pairs become outputs, the circuit gets emptier, causing dispersion to eventually succeed.

My original design was 41 and the circuit was a hex arm and a piston, with no conduit.  The piston had way too much work, 20 of the 41 instructions.  After a complete layout change I got to 31, then 28, then 26.  I don't imagine that it goes too much lower.

I spent a lot of time fiddling with various arrangements to optimize secondary.  The circuit could be length 12 or length 11 depending on whether the hex arms moved in unison or staggered.  Conduit position dramatically changes the timing.  The delayed start arm grabbing the catalyst could wait until the second or in this case third fire, sometimes causing things to end up faster.

This one eventually ending up at 2/9P makes it actually among the slowest steady states that I found.  It loses the race to 14 outputs as compared to a different 4/15P submission, but it is so fast for its first 12 that we ship it.