This article provides solutions and hints for the New York Times Connections puzzle #579, dated January 10, 2025. The puzzle features the words: Sugar, Goat, Relax, Orange, Host, Rest, Door, Hinge, Easy, Rye, Depend, Car, Rely, Chill, Enough, and Bitters.
Word List: Sugar, Goat, Relax, Orange, Host, Rest, Door, Hinge, Easy, Rye, Depend, Car, Rely, Chill, Enough, Bitters
Image: 
Definitions & Hints:
A brief definition of "Bitters" is provided: A non-alcoholic liquid or syrup used in mixed drinks, imparting a bitter or bittersweet flavor.
Solution Breakdown (with hints):
The puzzle is divided into four color-coded categories:
Yellow (Easy): Be Contingent On
- Hint: Conditional on something else.
- Words: Depend, Hinge, Rely, Rest
- Image:
Green (Medium): Calm Down!
- Hint: "Loosen up, man. Mellow out."
- Words: Chill, Easy, Enough, Relax
- Image:
Blue (Hard): Ingredients in an Old Fashioned
- Hint: "Bartender, what's in this delicious drink?"
- Words: Bitters, Orange, Rye, Sugar
- Image:
Purple (Tricky): Featured in the Monty Hall Problem
- Hint: Should you switch your door, or should you keep it? Will you get a goat?
- Words: Car, Door, Goat, Host
- Image:
Complete Solution Image: 
To play the game, visit the New York Times Games Connections website.
