Solano Dream: How to make Paraguay stronger?

I was wondering something: We know that the idea of a developed paraguay in the 19th century is a myth, but it is feasible to Solano rule a stronger paraguay given the right point of divergence? A idea I have is to have a PoD somewhere after the Platinean war, with Argentina remaneing offesive towards brazil and thus prompting Brazil to align with Paraguay. There could be a different triple alliance war, with Solano Paraguay and Pedro II Brazil fighting Argentina and Uruguay, resulting in Paraguay annexing the corrientes and the argentinian chaco provinces, what do you think?
 
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