They use a doppleganger that they claim is the real Nate (massive DNA scam, methinks), but who then gets let go when it turns out he's not (duh!) the real Nate.
By then the real Nate is off somewhere nice sunning himself with Sophie whilst Parker is working her way through the tourists pockets/bags/rooms, Hardison is holed up in a hotel room making them up all new id's ("grumblegrumble always stuck indoors grumblegrumble hate the sun anyway grumblegrumble") & Elliot is drinking the days away hitting on anything that moves, including
Parker (accidentally, of course - "what? she looked hot from the back, where I couldn't see all her crazy").

I love the commentary in brackets.