Google Assistant with UniFi Video

My ultimate goal with Home Assistant (at least initially) is to get my UniFi camera (which we’re using to remotely watch our pet birds) integrated with Google Assistant, and so far I’m most of the way there - only the camera doesn’t show up in Google Home.

So far I’ve managed to get Google Home to show my Philips Hue and TP-Link Kasa lights so the integration there is working, but I haven’t been able to get the UniFi camera to show up yet, even though I’m exposing it explicitly.

Here’s my config so far:

# Configure a default setup of Home Assistant (frontend, api, etc)
default_config:

# Text to speech
tts:
  - platform: google_translate

#Google Assistant
google_assistant:
    project_id: !secret project_id
    service_account: !include service-account.json
    report_state: true
    expose_by_default: false
    entity_config:
        camera.birds:
            name: Birds
            room: Lounge

#UniFi cameras
camera:
  - platform: uvc
    nvr: 127.0.0.1
    key: !secret nvr_key
    password: !secret nvr_password

group: !include groups.yaml
automation: !include automations.yaml
script: !include scripts.yaml
scene: !include scenes.yaml

I’m still learning about Home Assistant so there’s probably something simple I missed, but is there a way for my UniFi camera to appear in Google Home?