AGI will never exist – prove me wrong

Facts

1. The quantity of available data storage is finite
   
2. A computer has no feelings / emotions

Reasoning

To be an AGI, an AI would need to remember things. Remembering everything written is "easy": storing textual info (or their vector representation) does not consume so much space. Now, let's take a robot with the five senses. How this robot will decide to keep one information (image, sound, oral discussion, gestures, etc.) by itself?

Human, for instance, select the information to remember mainly through the emotional response. We all remember exactly what we did exactly on 9/11, because we were all horrified.

As a robot/computer do not have emotions, how he will decide to keep one information and not the other? As the amount of data storage is finite, should we consider that a robot to whom we need to say: "please remember that" is an AGI? I don't believe so.

So, to me, AGI will never exist. Prove me wrong!

Thanks