Move the upright mug upwards in a quick jerky motion so the water spills upward,
Quickly place the bowl where the mug used to be to catch the water.

12% of the time it works every time

Lay a chopstick, straw, or other kitchen stick across the rim of the mug, and surface tension will guide the liquid along it into the container. Chem lab technique I learned in high school

Pro-tip: hold a chopstick upright against the cup rim to guide it down into the container you're pouring into

Well gravity is a weak force after all...

Either pour or do not pour. There is no try.

Like seeing a hawk dive on a rabbit hiding in the brush where a single mistake could condem the hawk to a slow death, that is not bravery. That is total commitment to the task at hand.

Life hates cowards

Wide circular openings are terrible to pour from. If you are planning to pour something, ideally start it in a container with a spout - a built-in feature with the same effect as the straw or chopsticks other comments mention. If no spouted vessel is available, picking a vessel with the smallest opening possible is next best.

Jokes on the cup, I just pour from the bottom edge.

"Screw in with confidence."

Real humans move the bowl.