Your breath is warm and full of water vapor from your lungs. If it cools down, it will be itching to deposit that water on any nearby surface.
The glass is (usually) a lot less warm than your lungs, so the water precipitates out onto the surface of the glass as a liquid.
If you blow faster air from farther away, the air from your lungs has more time to mix with its surrounding air. On one hand, this cools it down and so it will be trying to offload some water, but on the other hand there is lots more air to help carry the water. Whether the water is fully caught by the surrounding air or deposited onto glass depends on the temperature, humidity, and airflow.
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