Purine pathway (recycling and de novo synthesis): folate (two separate steps in building new purines), glycine, glutamine, and aspartate (raw materials for the new-purine assembly line), PRPP, and ATP itself to fund the process. The enzyme that finishes purine breakdown into uric acid, xanthine dehydrogenase, is a molybdo-flavoenzyme, meaning it needs both MoCo (molybdenum) and FAD (B2), plus iron, to function at all. Purines touch nearly every nutrient on this page in one direction or another.
MoCo (the molybdenum cofactor system): molybdenum itself, copper, iron (as iron-sulfur clusters), SAMe (the enzyme that starts MoCo synthesis is a radical-SAMe enzyme), zinc, magnesium, L-cysteine, and P5P (active B6), which two of the MoCo-building enzymes require directly. This is a longer dependency list than I expected when I first found the MOCOS study, and it's part of why I don't think of MoCo support as "take molybdenum" alone.
Glutathione: glutamine, cysteine, and glycine as the three building blocks, plus B6, B2, and selenium to run the enzymes that assemble and recycle it.
B2 (riboflavin), and why it matters for energy specifically: as FAD and FMN, B2 is the required cofactor for Complex I and Complex II of the electron transport chain, which is where ATP is actually generated. It's also required for glutathione reductase, the enzyme that regenerates active glutathione from its spent form, for MTHFR in the folate cycle, and for xanthine dehydrogenase in the purine pathway alongside MoCo. B2 sits at the intersection of energy production, antioxidant recycling, and purine handling, so a shortfall here doesn't hit one system, it touches all three at once.
B6 (as P5P, the active form), and why it's needed: P5P is the cofactor for CBS, the enzyme that runs transsulfuration toward cysteine and glutathione, for the transaminase enzymes (GOT1/GOT2) that were shown suppressed in the LPS paper, for the decarboxylase enzymes that build dopamine, serotonin, and GABA, and, per the MoCo dependency list above, for MOCOS and NFS1, the two enzymes that sulfurate MoCo itself. B6 shows up in nearly every pathway described on this site.
Balancing homocysteine: two ways back, and both are already covered here. Remethylation back to methionine needs folate (as methylfolate) and B12 through methionine synthase, or betaine as a backup route through BHMT. Transsulfuration toward cysteine and glutathione needs B6-dependent CBS. Whichever route is weaker in a given person, the nutrients needed to support it are the same ones already discussed above.
MCT oil, worth trying for energy specifically: this one is a tool rather than a nutrient requirement. MCT oil (medium-chain triglycerides) skips the carnitine shuttle that ordinary long-chain fats need to enter the mitochondria, so it converts to usable ketone energy faster and more directly. If the ATP/purine system described throughout this site is already strained, MCT oil offers an energy route that doesn't have to pass through as many of the strained steps to become usable fuel. It's not a fix for the underlying pathways, just a more direct fuel source while those pathways are being supported.
The simple version: none of these systems runs on one nutrient alone. Purines, MoCo, glutathione, and methylation all overlap on the same short list of cofactors, folate, B2, B6, zinc, magnesium, iron, cysteine, so a shortfall in one of those touches nearly everything else on this page.