How do test if it has internet? Nintendo has shut down eShop and online play, so those features are expected not to work. (If you don’t know someone running a reverse engineered servers like pretendo, and set DNS of 3ds accordingly)

I have two 3ds in my wpa2 network (should have written wpa3 in comment prior, got confused, only OG DS does not support wpa2) and they connect to the internet very well (with only 500k down 😂 but it is enough to download games (😜from the source where there are still some available) over night)