That's an ordinary argument type. Like:
void my_function_to_connect_to_server(
Network network,
int port,
String server_name
)
It's not categorically different than the other arguments, and doesn't require an effect type system.
At this point I'm not sure if you're misunderstanding what I'm proposing, or if you don't know what an effect system is. If you care to communicate, you'll need to say something more substantial. Walk me through what you're trying to say.