I had the same problem and I tried this:
[roberto@Artixxx ~]$ ls -la /usr/lib/libpsl.*
lrwxrwxrwx 1 root root 15 14. Mär 14:55 /usr/lib/libpsl.so -> libpsl.so.5.3.0
lrwxrwxrwx 1 root root 15 14. Mär 14:55 /usr/lib/libpsl.so.5 -> libpsl.so.5.3.0
-rwxr-xr-x 1 root root 63088 14. Mär 14:55 /usr/lib/libpsl.so.5.3.0
From the user virtual-dev in the German systemdfree.de forum, I got the hint to upgrade the lib, because they are very old.
He said, that the libs are ancient, the new NM needs something new.
At a normal Arch they are already at 6.2.
After I've done the following:
sudo ln -s libpsl.so /usr/lib/libpsl.so.6
a new line was added:
lrwxrwxrwx 1 root root 9 15. Mär 20:06 /usr/lib/libpsl.so.6 -> libpsl.so
After that, I was able to start the NetworkManager with
sudo NetworkManager
Maybe the libs in Artix needs a refresh.