Holding priority, cast Dualcaster Mage by paying its mana cost.
When Dualcaster Mage enters, it triggers, copying Return to Action, with the copy targeting Dualcaster Mage.
Resolve the copy of Return to Action.
Holding priority, activate Goblin Bombardment by sacrificing Dualcaster Mage.
When Dualcaster Mage dies, it triggers, returning it from your graveyard to the battlefield.
Repeat from step 3.
Resolve all Goblin Bombardment abilities from step 5.
This clever loop spins up an endless engine using Dualcaster Mage to perpetually copy Return to Action and target itself as it enters the battlefield. Because Return to Action grants a delayed trigger that returns the creature straight back to the battlefield when it dies, you can feed Dualcaster Mage directly into Goblin Bombardment's sacrifice outlet without losing your recursive piece. Each iteration recycles the Mage, triggering its copy ability anew while the sacrifice deals relentless damage to any target.