I have found out last-minute that this works in omclone but not in OM. Bruh.

I encourage everyone to tinker as needed to fix this solution since I am three cycles away from min rate in omclone and don't know how to fix it; min rate is 15 outputs every 272 cycles, and this is 15 outputs every 275 cycles. The issue appears to be with arm 63 which acts as atom storage for the assembly of the critellium, but I simply do not know how to fix it. I have attached my solution file in Discord to anyone who wants to try. I hope that this can be made to work in OM.

From the notes on my previous submission: Grab 136 inputs. Then:
136Hg 136Pb 136Sn 136Fe    Purify all lead into tin
136Hg 204Sn 136Fe          Purify all tin into iron
136Hg 238Fe                Purify all iron into copper
136Hg 119Cu                Project 61 mercury onto copper
75Hg 58Cu 61Ag             Purify all remaining copper into silver
75Hg 90Ag                  Project 45 mercury onto silver
30Hg 45Ag 45Au
This lets you make 15 outputs.

Now here's the interesting thing. Not all of these processes require 136 inputs at once. For example, it takes only 2 inputs to purify all the lead into tin.

So we grab an input every 2 cycles, and glue pairs of inputs together to make brick2s at P4:
1Hg 1Pb 1Sn 1Fe -> 2Hg 2Pb 2Sn 2Fe
2Hg 2Pb 2Sn 2Fe -> 2Hg 3Sn 2Fe
2Hg 3Sn 2Fe -> 2Hg 1Sn 3Fe
2Hg 1Sn 3Fe -> 2Hg 1Sn 1Fe 1Cu

From here, we can glue pairs of brick2s together to make brick4s and double the period to P8.
2Hg 1Sn 1Fe 1Cu -> 4Hg 2Sn 2Fe 2Cu
4Hg 2Sn 2Fe 2Cu -> 4Hg 3Fe 2Cu
4Hg 3Fe 2Cu -> 4Hg 1Fe 3Cu
We are going to need to project 61 mercury onto copper and 45 mercury onto silver. Doing one of each at this point will perform 34 of each required projection:
4Hg 1Fe 3Cu -> 3Hg 1Fe 2Cu 1Ag
3Hg 1Fe 2Cu 1Ag -> 2Hg 1Fe 2Cu 1Au

From here, we can glue pairs of brick4s together to make brick8s and double the period to P16.
2Hg 1Fe 2Cu 1Au -> 4Hg 2Fe 4Cu 2Au
4Hg 2Fe 4Cu 2Au -> 4Hg 5Cu 2Au
We can project another 17 mercury onto copper here, as well as doing 17 of the 29 required copper purifications.
4Hg 5Cu 2Au -> 4Hg 3Cu 1Ag 2Au
4Hg 3Cu 1Ag 2Au -> 3Hg 2Cu 2Ag 2Au

Afterwards, this is the part with 17 brick8s come together to produce 15 critellium.

3Hg 2Cu 2Ag 2Au -> 51Hg 34Cu 34Ag 34Au
51Hg 34Cu 34Ag 34Au -> 41Hg 24Cu 44Ag 34Au
41Hg 24Cu 44Ag 34Au -> 30Hg 24Cu 33Ag 45Au
30Hg 24Cu 33Ag 45Au -> 30Ag 45Ag 45Au