Pass
Buy the 39 at $39
To save us all some time making decisions, and because I've already done the math to determine what I should purchase, I claim the win:
Capacity: I have 17. Liopoil has 15. Archetype has maximum 15, and Walrus maximum 12, based on optimal replacement (23 -> 36, 19 -> 34). Andrew has 11.
Resources: If Archetype and Walrus collude to force me to pay the maximum (which requires suboptimal replacement on Archetype's part, 33 -> 36), they can buy 4 Oil and 5 Uranium between them, forcing me to pay $19 for oil (6+6+7) and $7 for uranium, for a total of $26. That leaves me with $197-$39-$26 = $132.
Cities: No matter where Archetype and Walrus build, I'll be able to build into any city where they already both are. That includes Kansas City ($28), St. Louis ($26), Oklahoma City ($28), Dallas ($23) and Houston ($25). Total cost is $130.
That gives me 16 cities and the capacity to power 17, with $2 left over but no tie-breaker needed.