[PM-42587] Unable to turn on Accessibility

### Steps To Reproduce

https://github.com/bitwarden/android/issues/4601

Same as the above issue. I figured with the new app it might have been fixed but apparently that wasn't the case.

### Expected Result

Accessibility toggle turns on and remains enabled.

### Actual Result

Same as the issue prior, the toggle never turns on even when the accessibility permission has been given by the system.

### Screenshots or Videos

_No response_

### Additional Context

_No response_

### Build Version

2026.8.0

### What server are you connecting to?

US

### Self-host Server Version

_No response_

### Environment Details

Nothing Phone 3a - Android 16

### 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.

No source file or test is named. Start by reproducing the problem on the stated Android 16 device and compare it with the linked Android issue #4601; trace the accessibility-toggle entry point identified there. Done means the permission-backed toggle turns on and remains enabled.

Written by the indexing model from the issue text.