The handler for Bricks twitter account sounds like a woman. If you listen to that video of Brick « packing », you can hear a female chuckle.

I don’t hear a female chuckle, just Brick’s barkings, but I think David’s PA could be taking care of Brick sometimes for him, and I think it’s Bailee. She’s working for Ghost War and also for David and she’s staying in the same hotel / building, so that could be her. But I still only hear Brick on this video, though.