Split language from region: omarchy-language and Setup > Language own LANG

omarchy-region and install/config/region.sh no longer touch the locale;
both logout prompts are worded through omarchy-text.

AGENTS.md

@@ -99,8 +99,9 @@ Exceptions are allowed for migration and package-helper scripts where the helper
 # Region
 
 - `/etc/omarchy/region` holds `cn`; no file means Global. `omarchy-region` prints the region and switches it (`omarchy region cn|global`); the profile lives in `default/regions/cn/`, its contract in `docs/regions.md`, user-facing docs in `manual/52-china.md`.
-- `install/config/region.sh` is the one system leaf for both the ISO install (the `/etc/omarchy/region` marker the installer derives from the timezone) and the runtime switch (`OMARCHY_REGION`): region file, the profile drop-ins it symlinks, and the locale. Input methods are not part of a region: the installer's keyboard choice and `omarchy-setup-input` own them (`docs/input-methods.md`).
+- `install/config/region.sh` is the one system leaf for both the ISO install (the `/etc/omarchy/region` marker the installer derives from the timezone) and the runtime switch (`OMARCHY_REGION`): the region file and the profile drop-ins it symlinks. Input methods are not part of a region: the installer's keyboard choice and `omarchy-setup-input` own them (`docs/input-methods.md`).
 - `omarchy-apply-pacman` renders pacman for every caller: the channel templates, the profile's `pacman/mirrorlist-<channel>.prepend` ahead of the mirrorlist, and its `pacman.conf.append`. Nothing in `omarchy update` or migrations may change the region or `/etc/locale.conf`.
+- Language is separate from region: `omarchy-language en|zh` (Setup > Language) owns `LANG` in `/etc/locale.conf`, the installer sets it from its first screen, and nothing keyed by region touches it.
 - China-only menu rows carry `"when":"[[ \"$(omarchy-region)\" == \"China\" ]]"` on every row, not only the submenu, because search checks each row's own guard.
 - Chinese menu labels live in `default/omarchy/omarchy-menu.zh-cn.jsonc`, merged when `LANG` starts with `zh_CN`; give a new menu row with translatable words a label there.
 - Shell text goes through `I18n.tr("English %1", arg)` from `qs.Commons`, with its Chinese in `shell/Commons/I18nZh.js` keyed by the English. Notifications and OSD messages are worded by their sender with `omarchy-text "English %1" "$arg"` (Python: `text()`, QML: `I18n.tr`), which reads the same table; the shell shows them as given, so user text is never translated. `test/shell.d/shell-i18n-test.sh` fails on a missing entry.