The company that originally owned the satellite, from which the Music Meister stole control, is located in North Gotham, whic h explinas why he picked Blackgate as his source of goons. Bruce and Dinah head straight there in his Batmobile
After working out the plan, there is no conversation. For Bruce, she imagines he just isn't talkative. For Dinah -
- the music is still playing in her head, and she doesn't want to start singing him a love song.
And it's nervewracking, in a way. She's more nervous than she ever is before a fight. It's not that the hypnotized victims she has to fight include Ollie and Arthur. It's not just the fact that thinking of the man next to her is making her heart thump and her palms sweat. It's that she has to loose.
She has to let Arthur get hold of him, his arms that could crush bones holding her in place as Ollie takes out her ear plugs.
She has to let her mind slip away, and lose that fight against the music, to lose all self control.
Because that's the only way she can realistically fight against Batman. That's the only way he could join in the song.
And it's the only way they could turn the music back on him. By taking control of the song, and pushing it so he can force Dinah to sing higher. And higher, and to finally loose her cry into the satellite, to destroy the mics and the broadcast equipment and remove every piece of control the Music Meister had on the world.
Dinah surrenders her mind so someone she trusts can use her voice as a weapon.