Get OUT!! It's in??!
I knew we'd see the vest at the gate because they set it up with the capture of Frodo at the tower, and, at the point where Aragorn and the others ride up to the gate, I saw the cut. They rode up, and it cut to Aragorn turning around all teary and saying "For Frodo"... Remember? I knew they had cut the vest.
The heartbreak of that mouth of Sauron dropping Frodo's things at their feet alway hit me like a ton of bricks in the book, to think what it meant to the characters for that moment, even though we knew they were still alive.