Two files in the zip one with the extension .pal is for PSP 7.02 the extension with .psppalette is for PSP 8 and above.
If you can’t see extension it’s the file with x is for PSP 8 and higher.
To learn on how to load these palettes: http://iezombie.net/adding-and-using-a-palette-to-paint-shop-pro/