"Where am I and the teacher going wrong?"
Remember that the plastic, flexible, re-closed bottle will start to blow out as soon as gas comes out of the liquid and, if it has been squeezed in, then it will accommodate gas even before the bottle is blown out to its original size. The gas space will not meet any 'back-pressure' (to maintain the fizz) until the bottle is blown out to its full size again.
I agree that, if the bottle were made of some sort of material that when squeezed, would not blow out again, then pressure would be (nearly) maintained.
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