Collect the coins from caretaker. Get a city map and return to the news office.
Put the coins into the hat. You can now ask to drink the stuff a couple of more times to get the achievement.
Achievement help
This is the guide for "A Bit Moreish" achievement in The Drifter. At Nice Game Hints you get hints even on the achievements. Click the big button below to get your first hint on getting this achievement.