I don't really know how to explain it any better than Aurélie did in the associated lesson. You just have to buckle up and study it some more. Sometimes it is in vain to look for rhyme and reason, just learn the examples and try to use them yourself in some sentences. -- Chris (not a native speaker).

Bonjour Jupp,
Here are two links that might possibly give you a broader perspective on the nuance differences between the two:
https://www.lawlessfrench.com/vocabulary/games-sports-hobbies/
http://dawn1111.expertscolumn.com/article/french-lesson-when-use-faire-vs-jouer-au-when-speaking-about-sports
On the first link, the lesson is written by Laura from this site.

I hope this gives you a clearer picture of how to use each phrase.
Bonne chance et bonne continuation.
Ron (un locuteur non natif