This phenomenon is called supercooling
To form an ice crystal the water require nucleation, something to kick start the ice forming process. This can be the water itself moving, or impurities in the water like minerals can also do that.
Because the water in your bottle is relatively pure, and the bottle is stagnant (water isn’t moving) under certain conditions the water in the bottle can cool to below the freezing point of water. This is called supercooling.
When you agitate the bottle it causes water crystals (ice) to form instantaneously
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