This is the fifteen minutes the finale owed you, handed over quietly and without ceremony. If you finished Gatchaman Crowds feeling like Berg Katze got swallowed by the ending rather than resolved by it, Embrace is the extended cut that actually sits in the room with him. It is Hajime being Hajime at the one person in the show least equipped to handle unconditional acceptance, and Rui standing there as the guy who has already been broken and rebuilt by this fight. No spectacle, no NOTE swarm, just talk, and that is the point. Be honest with yourself going in: this is a director's cut of episode 12, not a special, and watched cold it plays like a deleted scene. Watched right after the finale, it is the difference between an ending you argued about and an ending you can live with.
Gatchaman Crowds: Embrace is a special released in 2014 as a director's cut of episode 12, bundled with the BD/DVD box set. It adds roughly 15 minutes of footage that was not in the broadcast version. The special is a sci-fi adventure, and it offers an expanded take on that single episode rather than a new standalone story.