This question is a follow up and more precise version of Tax law and freelancing as a side-job in Germany.
As explained in the linked question, working as a freelancer in Germany could turn out to be quite complicated taxes-wise.
Here is a more precise scenario: suppose a PhD student/research assistant working at a German university (who gets paid according to 75% of the TV-L 13 wage) has a side gig on an online platform (like UpWork) as a proofreader. Suppose that this side gig ammounts to about 1000-2000 EUR per year (or less).
Would this be considered gewerblich or freiberuflich? What would the tax responsibilities be in this case?