I'm pretty confident this system has a Mini PCI card slot so the Mini PCIE or
Mini PCIE half height cards will not work. Given the age of the system and
the manufacturer there is a higher chance of the system not containing
digital restrictions on this slot.
The card which can be installed in the laptop and has a high chance of
working is the following:
https://www.thinkpenguin.com/gnu-linux/penguin-wireless-g-mini-pci
The other card that might work is:
https://www.thinkpenguin.com/gnu-linux/penguin-wireless-n-mini-pci
It has a slightly lower chance of working though as these systems were
generally designed to work with G cards. However I don't think there should
be any problems in theory with installing an N card.