@Cornwallis
Usually one tries to limit the ‘supply chain’ length in terms of moves, as moves equal time.
Having said that, are you considering turn 1 ANZAC sending a transport with one infantry toward Brazil? In that case, any production by Brazil won’t occur until T4, two turns to land, one turn to build factory, one turn to build units. At this point, subs are actually getting to Gibralter on T5, one turn after US subs could be there.
Given you mentioned KJF, I would keep ANZAC resources in the Pacific and support the US by assualting the money islands and if able, reinforcing US captured territories. Whatever subs you want to send against Italy, the US could produce instead, and do so a turn faster.
Even without the factory, the long term value in ANZAC capturing Brazil is unclear. 2 IPC gain is just as well used by US. Any additional infantry from ANZAC Brazil are so far out of position they will not make any timely impact in the Pacific or even slow marching through Africa.
Would be curious to see a demonstration of how you would play this out. Give it a go and let us know what advantage you find!