Quick 8 hour submission. No further optimisation outside of the preoptimisation done for incidentals.
Builds core from two halves of lambda. Two central radicals are added, then the four outside radicals.
Calc and Dupe are both indirectly accessible at a distance of 3, so incidentals are heavily used, with only a few other moments of direct usage near the start.
This is +2 from naive min, but I don't believe only two arm hexes are doable, nor can calc be used in the central location. Therefore, I believe this is min.