despacharían
-they would deal with
The word despacharían is the conditional form of despachar in the third person plural.
See the full despachar conjugation

despachar

Creo que, a través de los Arquitectos del Universo Maestro, el Actor Conjunto da a conocer esta acción, y creo que los Arquitectos adecuados, el Arquitecto a cargo de Orvonton, despacharían a los organizadores primarios de la fuerza directamente desde el Paraíso.
I think that through the Architects of the Master Universe the Conjoint Actor makes known this action, and I think the appropriate Architects, the Architect in charge of Orvonton, would then dispatch primary force organizers direct from Paradise.
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