I am a beginner and started lessions about 6 or 7 weeks ago and now playing Fur Elise, Bach's WTC Prelude #1, Chopin opus 28. prelude #7 and learning Mozart's Rondo a la Turca.
I suggest you are careful of learning the fundamentals as well as the pieces.
WTC Prelude 1 is not an easy peace because it requires a perfect evenness of touch while the arpeggios are played with the two hands.
And as the same time, there is a bass line on the left hand.
Why do I know ?
I learnt it as an adult and it has given me incredible bad habits.
Be careful to learn the fundamentals : evenness of voices, playing not with the fingers but with the whole arms and back (even the legs are important because they give the support).
Of course, you are happy to play these beautiful works. It is OK as long as your teacher teaches you the basics.
I once saw a film about a Canadian guy who had gone to China to study kung fu with a master.
He showed the master what he could do from what he had learnt watching Bruce Lee's films a thousand times each.
The master just pushed him and the guy fell on his butt.
When the master accepted him as a disciple, he had to learn for months how to just stand on his feet.
Piano is not kung fu.
Kung fu was a metaphor.
All arts are rivers that lead to the same sea.
How do I know ?
I wish I knew