A South American battlecruiser race

What might Argentina and Brazil buy if Chile ordered two Invincible-class battlecruisers?

Argentina would probably seek an American or German design, while Brazil would likely order a British battlecruiser, perhaps approaching the Lion class.

The counterfactual starts with Chile ordering two Invincible-type battlecruisers as a Constitution class. Argentina would probably seek an American or German response, with a foreign order potentially giving the United States political and industrial reason to build battlecruisers for itself. Brazil would likely return to Britain and might pursue a Lion-type ship as designs advanced. Economic shocks could then transfer some export hulls into Royal Navy service, as happened with other foreign orders. An extra British heavy-gun ship could therefore appear at Dogger Bank, extending the consequences beyond the South American balance.