She gave up. People were curious about her. No one had tried to shoot her in the head yet. She took a bite of her not-quite-egg-salad-sandwich like she'd just told him she switched her car insurance. She partially blamed it on the brains. City brains, in addition to being bland, didn't generally see the point in lying or keeping secrets. If Liv had been herself she might have at least tried to deflect.
These City brains were going to get her killed if she blabbed that to the wrong person. But three out of three had taken it shockingly well. Alex would be the fourth.