Q. If I use Lanette's Net Search to find three Pokémon one of them being Team Magma's Groudon (which is both Dark and Fighting), can I search for a plain Dark or plain Fighting Pokémon, or does the Groudon count for both of those types?
A. Dual type Pokémon always count as both of their types. In this case, no, you could not get a Fighting or Dark Pokémon if you chose Team Magma's Groudon. (Mar 11, 2004 PUI Rules Team)
Q. Lanette’s Net Search says to search for 3 different types of Pokémon. If I get a Fire-Darkness Pokémon, does that count as 2 of those cards?
A. Yes. If you chose a Dual type Pokémon, you could only choose 1 more Pokémon (and it couldn't be either of those two types). (Dec 16, 2004 PUI Announcements)