Activate Blasting Station by tapping it and sacrificing Putrid Goblin.
When Putrid Goblin dies, its persist ability triggers, returning it from your graveyard to the battlefield without a -1/-1 counter on it due to Vizier of Remedies.
When Putrid Goblin enters, Blasting Station triggers, untapping Blasting Station
Resolve the Blasting Station ability from step 1
Repeat.
This clever loop turns Putrid Goblin into an endless loop of ammunition for Blasting Station. Normally, persist would plague the Goblin with a -1/-1 counter upon its return, permanently shutting down its ability to trigger the loop again, but Vizier of Remedies steps in as the master alchemist to rewrite that rule by reducing the incoming counters to zero. Because the Goblin enters the battlefield completely clean every time, Blasting Station untaps from the entry trigger and is immediately ready to sacrifice it once more, yielding infinite damage, death triggers, and sacrifices to close out the game.