Activate Blasting Station by tapping it and sacrificing the persist creature.
When the persist creature dies, its persist ability triggers, returning it from your graveyard to the battlefield without a -1/-1 counter on it due to Renata.
When the persist creature enters, Blasting Station triggers, untapping Blasting Station.
Resolve the Blasting Station ability from step 1.
Repeat.
This elegant loop turns a standard persist creature into an infinite-damage engine by leveraging Renata, Called to the Hunt as a brilliant mechanical counterweight. Because Renata places an additional +1/+1 counter on entering creatures, she instantly cancels out the -1/-1 counter that persist would normally apply, allowing your creature to return to the battlefield unscathed time and time again. You simply sacrifice that creature to Blasting Station to deal 1 damage, and every time the creature returns, Blasting Station's triggered ability untaps itself so you can repeat the process indefinitely.