I have no idea if you want to play against full comedy, but Gina lives with the loosey-est of goosey police officers and has plenty of instances where they secretly made her be a better person by, like, believing in her talents and being there for her even when she's frequently being a self-absorbed drama queen.

On the other hand Gina being herself could also push Anderson into "maybe hardass is acceptable if it would get her to stop?!" so it's up to you. But Gina does love psychics (the other kind but...tomato tomahto) and Dredd police with Brooklyn Nine Nine police seem like they would create a matter/anti-matter explosion.