Detective Conan Episode 681 Direct

Because Takagi and Date shared the same first name (Wataru), and Natalie only referred to her boyfriend by that name to her parents, Fuemoto believed Takagi was the man who "dumped" her.

Conan reveals that the building is actually a second-story building; a mirror was used to make it seem like a four-story building. Detective Conan World Detective Conan Episode 681

Natalie never felt dumped; she committed suicide out of grief after identifying Date's corpse at the morgue following his accident. Because Takagi and Date shared the same first

The Life-Threatening Broadcast of Love - Detective Conan Wiki The Life-Threatening Broadcast of Love - Detective Conan

While the Detective Boys wait for a photoshoot at the police station, a stranger delivers a tablet to them. To their horror, it broadcasts a live feed of Detective Wataru Takagi tied up and standing on a high wooden board with a noose around his neck. The police have roughly 24 hours to find him before a bomb explodes.

Sato spectacularly rescues Takagi from the noose via a police helicopter, using her gun to cut the rope just before the bomb detonates.