Hello friend, you don’t need to memorize it deliberately. There is a slight problem with your idea of ????learning piano.
1 For etudes, just look at the score and practice it many times. Eventually you will be able to memorize it without any effort, and etudes should be practiced repeatedly. If you are not very good at sight-reading and often get interrupted, there is no need to memorize music. First, play each note correctly and stand firm on each finger. Once you are proficient, you can speed up and practice repeatedly. The two preludes at the beginning of Bach are not tonal. I agree, the music is a little deeper, but it can still be mastered according to the above method.
2 For works, the same method is used. If you look at the score and play the bullet a few times, your brain will have memory and your muscles will also have inertial memory.
Once again, it is recommended that you separate each sentence separately and practice this sentence many times, from slow to fast, and you must be able to play it accurately. Slowly, the entire song will be memorized by you (don't worry about memorizing the song, but you will memorize the song naturally). (One more thing, in fact, you can also use this method to learn English. This method can exercise right-brain thinking, while rote memorization is left-brain thinking.) I hope I can help you.