Cookies are often wider than the vessels we put beverages in. So we have a problem.

Solution A:
Design / Blog About / Buy – a functional yet otherwise ugly / retarded “dipping handle mug” so that you can enjoy your beverage in a hideous / lame plain mug that no aesthetically sensitive person would ever be caught dead using.

Solution B:
Put your beverage in one of the beautiful, luxurious, magnificently aestheticized (in either a form-follows-function or completely-whimsical or process-programmatic sort of way) vessel that you have carefully selected from your informed shopping and / or immersive world travels – in short a vessel that brings both aesthetic pleasure and satisfaction to the user as well as conveying a fine sense of aesthetic taste and discrimination to observers…

AND… then when time comes to dip your cookie, grasp in gently yet securely in both hands and BREAK IT IN HALF.