very cool style of puzzle! Glorp was amazing and so was this too! When Hoekri sent the image of the rate graph being a quadratic I (Goldenboi) genuinely laughed out loud. After figuring out that min primary comes from 16/7 rate, I for some reason actually made an overly complicated solve that had 16 period but quickly after that we both realized we could just make a faster solve and then spend some time doing nothing every so often. This solve has a rate of 6/3 with some downtime because the arms formed a union and demanded breaks :( We went through a lot of different variations of this but had narrowed it down to pulling 1 input every 3 cycles fairly early on, then slowly optimized it down to 180g. Solution title dedicated in honor of my son Boopington, although we just call him Boop for short. Meow