If I remember correctly, I played this game long time ago, after pushing him to the edge he will try to crush you and after that there should be a prompt to press a "button" (attack button) repeatedly.
To push him over the tapping has to be at the beginning at the rhythm on screen following a VERY fast tapping, I remember putting the controller on my knee and tapping with my index finger because this way I could tap faster. I had to do that more than once.
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If real is what you can feel, smell, taste and see, then 'real' is simply electrical signals interpreted by your brain
From The Matrix