Victoria Beckham was the belle of the ball in Manhattan this week as she launched her Gap collection — which sold out almost immediately Friday — and was feted as one of Time’s 100 most influential people. As usual, the trip was a family affair, with doting husband David, son Cruz, 21, and mini-me daughter Harper, 14, in tow for a fashion launch party at private club People’s and dinners at trendy hot spots Coqodaq and Salam. But behind the smiles, Victoria is still reeling over the ongoing estrangement from her oldest son Brooklyn, 27, who was busy cooking pasta online at his Los Angeles home. Victoria Beckham was joined by her proud family — husband David, son Cruz, his girlfriend Jackie Apostel (far left) and daughter Harper (far right) — at a swanky party to launch her Gap collab in NYC. Hippolyte Petit “Everything’s going really well — but Brooklyn’s not there,” said a source in the know, who insisted the family will “never give up hope” of reuniting with their boy.…