A mix of the first two.
Head straight to GF when you arrive and enjoy it for a little while. Ask one of your colleagues to text you when they're settled in the lounge, then pop up to see them for the remaining hour (or whatever it is) before you head to your flight.
If you're all heading to the same place as a team, and working together, then it's not good form to be apart from them.
Offering one of them access to GF is the worst option of all; that just creates further division.
GC is fine. GF isn't that much of a step up.