Holding priority, cast Dualcaster Mage by paying its mana cost.
When Dualcaster Mage enters, it and Blasting Station trigger.
Resolve the Blasting Station trigger, untapping it.
Resolve the Dualcaster Mage trigger, copying Feign Death, with the copy targeting Dualcaster Mage.
Resolve the copy of Feign Death.
Holding priority, activate Blasting Station by tapping it and sacrificing Dualcaster Mage.
When Dualcaster Mage dies, Feign Death triggers, returning Dualcaster Mage from your graveyard to the battlefield.
Repeat from step 3.
Resolve all Blasting Station abilities from step 5.
This clever loop centers around Dualcaster Mage, which enters the battlefield to copy the Feign Death you cast just beforehand, setting up an endless cycle of self-preservation. When you sacrifice Dualcaster Mage to Blasting Station's activation to deal a point of damage, Feign Death immediately resurrects it with a +1/+1 counter. That fresh entrance triggers both Blasting Station to untap itself and Dualcaster Mage to copy Feign Death once more, allowing you to repeat the entire sequence to deal infinite damage to any target.