I will be arriving into SFO on AA and continuing on via CX to HKG, with a 4-hour connection in SFO, and with the CX segment in F. So, I'll have access whatever lounge CX provides to F passengers in the int'l terminal (which may actually be the BA or JL lounge - I'm not sure), and/or the regular AA lounge in the domestic terminal near my arrival gate. My understanding is that I'll have to exit and re-clear security to get to the int'l terminal, so it's a one-way terminal switch.

With about 3 hours to spend in the lounge(s), what would you recommend? Stay in the AA lounge for a couple of hours, or head over to the int'l terminal right away?