Keep repeating the action untill the laquer on the towel is clean of ink repeat the action 3 more times to be sure of removing any stubborn ink. keep using the towel in a blotting action to remove as much laquer as possible then allow the carpet to completely dry.
When dry hand brush the area gently, then vacuum away any dried laquer. I have remove Blue ink from a deep pile carpet
successfully the secret is to NOT scrub the carpet with the towel