AutoFill Missing in Chrome and Chrome Beta

### Steps To Reproduce

1. Go to certain sites, using the web view from Google Search bar or the Chrome or Chrome Beta app.
2. Click on a login form field
3. AutoFill does not display, and is also not in the quick complete on Gboard.

### Expected Result

AutoFill appears and is on Gboard auto complete.

### Actual Result

It doesn't.

### Screenshots or Videos

_No response_

### Additional Context

Also happens in other apps, such as My Virgin Media where it directs you to a browser to login.

### Build Version

2025.5.0 (20269)

### What server are you connecting to?

EU

### Self-host Server Version

_No response_

### Environment Details

© Bitwarden Inc. 2015-2025

Version: 2025.5.0 (20269)
📱 google Pixel 9 Pro 🤖 16@36 📦 prod
🧱 commit: bitwarden/android/release/2025.05-rc20@1e665db8aeb92989bdc7e312506cddd4887cde8e
💻 build source: bitwarden/android/actions/runs/15300207138/attempts/1

### 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.

Start by reproducing the issue on a Pixel 9 Pro with Android 16 using Chrome, Chrome Beta, Gboard, and the My Virgin Media login flow. Trace the Android AutoFill integration from a login form through the Chrome web view and verify that AutoFill appears both in the form and Gboard completion.

Written by the indexing model from the issue text.