[PM-34827] Passkey service does not fall-through when logged out.

### Origin

Web (Browser)

### Web URL or App name

Not applicable

### Passkey Action

- [x] Creating new passkey (Registration)
- [x] Signing in (Authentication)

### Build Information

Installed via Play store,
LineageOS 22.1 with MindTheGapps

Build Info
© Bitwarden Inc. 2015-2026

Version: 2026.3.1 (21415)
📱 google Pixel 3 🤖 15@35 📦 prod
🧱 commit: bitwarden/android/release/2026.3-rc49@c2ef20e1ed74a9cba60b19d5849af168629d3756
💻 build source: bitwarden/android/actions/runs/23660459640/attempts/1
🦀 SDK: 2.0.0-5676-14521973
🌩 Server: Vaultwarden 2025.12.0

### Additional Information

When Bitwarden is selected in android settings as the *only* auto fill provider, and an account is not yet signed in, Fido2 requests fail entirely **systemwide** as it appears Bitwarden does not attempt to invoke the system passkey UI as a fallback.
> [!NOTE]
> If it is involving the system ui, perhaps this is a LineageOS bug, however, I didnt see anything relevant in logcat at all to suggest this.

Flight Recorder

```
Bitwarden Android - Password Manager
Log Start Time: 2026-04-09 09:27:47:583
Log Duration: 1h
App Version: 2026.3.1 (21415)
Build: release/standard
SDK Version: 🦀 2.0.0-5676-14521973
CI Build Info: 🧱 commit: bitwarden/android/release/2026.3-rc49@c2ef20e1ed74a9cba60b19d5849af168629d3756
💻 build source: bitwarden/android/actions/runs/23660459640/attempts/1
Device: 📱 google Pixel 3 🤖 15@35 📦 prod
🌩 Server: Vaultwarden 2025.12.0
Fingerprint: google/blueline/blueline:12/SP1A.210812.016.C2/8618562:user/release-keys
2026-04-09 09:27:47:596 – DEBUG – lc7 – RootNavScreen destination changed: com.x8bit.bitwarden.ui.platform.feature.settings.about.SettingsAboutRoute.PreAuth in com.x8bit.bitwarden.ui.auth.feature.auth.AuthGraphRoute
2026-04-09 09:27:51:357 – DEBUG – AppStateManagerImpl$AppForegroundObserver – App is backgrounded
2026-04-09 09:28:04:100 – WARNING – BitwardenCredentialProviderService – No active user. Cannot get credentials.
2026-04-09 09:28:04:100 – DEBUG – BitwardenCredentialProviderService – Get credential request received.
2026-04-09 09:28:13:294 – WARNING – BitwardenCredentialProviderService – No active user. Cannot get credentials.
2026-04-09 09:28:13:294 – DEBUG – BitwardenCredentialProviderService – Get credential request received.
2026-04-09 09:28:19:487 – DEBUG – ae – Network status change: Wifi(strength=FAIR)
2026-04-09 09:28:20:001 – DEBUG – AppStateManagerImpl$AppForegroundObserver – App is foregrounded
```

### Issue Tracking Info

- [x] I understand that work is tracked outside of Github. A PR will be linked to this issue should one be opened to address it, but Bitwarden doesn't use fields like "assigned", "milestone", or "project" to track progress.