Linux Chrome Extension: It is impossble to change language(Korean/Japanese).

### Steps To Reproduce

OS : Archlinux/KDE/Wayland
Bitwarden Extension Version : 5.1(2026)

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I'm using fcitx5(fcitx5-hangul) as an input method framework, on KDE.
I tried to change the input method to Korean(Japanese), but it does not work.

### Expected Result

The input method have to change to Korean, Japanese and English, but it fails.

### Actual Result

It sticks to English.

### Screenshots or Videos

_No response_

### Additional Context

_No response_

### Operating System

Linux

### Operating System Version

_No response_

### Web Browser

Chrome

### Browser Version

149.0.7827.53

### Environment Versions

Version : 2026.5.1
SDK : main (e13c4fc)
Server version : 2025.12.0

### 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 in the Bitwarden browser extension on Arch Linux with KDE/Wayland, Chrome 149, and fcitx5-hangul, then compare Korean, Japanese, and English input behavior. Done means the extension accepts and switches between those input methods instead of remaining in English.

Written by the indexing model from the issue text.