There are not many Linux typing tutors, and as far as I can see only one for Polish
https://www.kde.org/applications/education/ktouch/
You don't have to use KDE to run this program.
I wouldn't recommend Tiny Core: it's more for embedded systems. The basic system is small, but it runs in RAM so using programs quickly eats all the memory. For example, when I tested it, I needed 180 MB to run a web browser that had run in 120 MB using AntiX. You can try it, but I think AntiX will be better.