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:

Bitters Definition:
A non-alcoholic liquid or syrup, typically bitter or bittersweet, added to cocktails. Examples include orange and Angostura bitters.
Hints and Solutions:
The puzzle is divided into four color-coded categories. Below are hints and answers for each, with images included where originally provided.
Yellow Category (Straightforward):

Green Category (Medium Difficulty):

Blue Category (Difficult):

Purple Category (Tricky):

Complete Solution:

To play the game, visit the New York Times Games Connections website.