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https://steamhost.cn/steamcommunity_com/sharedfiles/filedetails/?id=1196894561
https://i.imgur.com/BrIEX4b.gif
I tried to reduce cost as much as I could while still doing it in 38 cycles. Lower cost at 38 cycles is probably possible (at least a little bit)
https://steamhost.cn/steamcommunity_com/sharedfiles/filedetails/?id=1191761831
https://i.imgur.com/yFp2aK6.gif
To go the fastest possible solution, you get enough primes to complete a circle on cycle 5. Cycle 6 link 'em, cycle 7 fix the fire/salt issues, cycle 8 move 'em to the exit, cycle 9 drop 'em. Enough primes for another ring every 6 cycles, so five extra products takes 5x6=30 cycles. So 39 cycles is the fastest possible solution to this challenge.
https://i.imgur.com/68YKgVJ.gif
(As to the rest: 😉 )
https://steamhost.cn/steamcommunity_com/sharedfiles/filedetails/?id=1180209547
(...Wait, you're PleasingFungus? You did Manufactoria? You have a new game?