Activate Bartolomé del Presidio by sacrificing Arid Archway.
When Arid Archway dies, Toph, Hardheaded Teach triggers, returning Arid Archway from your graveyard to the battlefield tapped.
When Arid Archway enters, it triggers, returning the artifact cast in step 1 from the battlefield to your hand, as it's a land due to Toph, the First Metalbender.
Resolve the Bartolomé del Presidio ability
Repeat.
By leveraging Toph, the First Metalbender to turn your free nontoken artifacts into lands, Arid Archway suddenly gains the ability to bounce them right back to your hand when it enters the battlefield. You can then feed that land-turned-artifact to Bartolomé del Presidio as a sacrifice, triggering Toph, Hardheaded Teacher to instantly return the earthbent Arid Archway back to the battlefield from your graveyard. This creates a relentless loop where every cycle grows Bartolomé del Presidio taller and triggers your entire engine infinitely, fueled entirely by the constant rebouncing of your zero-mana artifact.