At school we can also write digitally from the upper level. I would also like to take advantage of this offer and therefore I intend to buy a laptop to write down. The prerequisites would be 8GB RAM, touch display, a pen to write and a reasonably good processor. That should be as cheap as possible. Budget is around 700 euro. Of course that sounds pretty like a Surface but I would be interested to know if there are good alternatives?
A little over budget: https://www.campuspoint.de/lenovocampus-thinkpad-l13-yoga-20r6s00800.html
I have a Lenovo Yoga Book. Not exactly what you are looking for, but perfect for your purposes.
With the Medion - Aldi there are already much cheaper, for example
about 500 euro