### System details
Intel Core i7-7820HQ, Intel HD Graphics 630 + AMD Radeon Pro 455, Apple MacBookPro14,3, Omarchy 4.0.1-1 (x86_64)

### What's wrong?

Installing Sublime Text from **Install → Editor → Sublime Text** succeeds, but the app never appears under **Setup → Defaults → Editor**. After install that menu still only listed Neovim.

The install path and the defaults path use two different identities, and only one of them matches what `sublime-text-4` actually ships.

**Install (this part works)** in `default/omarchy/omarchy-menu.jsonc`:

```jsonc
"install.editor.sublime": {
  "action": "omarchy-install-and-launch 'Sublime Text' sublime-text-4 sublime_text"
}
```

That installs package `sublime-text-4` and launches `gtk-launch sublime_text`, which is correct because the desktop file is `sublime_text.desktop`.

**Defaults (this part fails)** in the same file:

```jsonc
"setup.default.editor.sublime": {
  "when": "omarchy-cmd-present sublime_text",
  "checked": "[[ \"$(omarchy-default-editor)\" == \"sublime_text\" ]]",
  "action": "omarchy-default-editor sublime_text"
}
```

`omarchy-cmd-present` is `command -v`. The official package does **not** put `sublime_text` on `PATH`.

On a stock install of `sublime-text-4 4.4200-1`:

| What | Result |
|---|---|
| package | `sublime-text-4` installed |
| `command -v subl` | `/usr/bin/subl` (wrapper: `exec /opt/sublime_text/sublime_text "$@"`) |
| `command -v sublime_text` | missing |
| real binary | `/opt/sublime_text/sublime_text` (not on `PATH`) |
| desktop file | `/usr/share/applications/sublime_text.desktop` (`Exec=/usr/bin/subl %F`) |

So `omarchy-cmd-present sublime_text` fails and the Defaults row is hidden.

**Second failure if you force it:** `omarchy-default-editor` stores the name `sublime_text`, and `omarchy-launch-editor` then does `omarchy-cmd-present "$editor"` and falls back to `nvim` when that command is missing. Selecting Sublime as the default editor would not actually launch it.

Unlike VS Code / Zed / Helix / Emacs, Sublime has no dedicated `omarchy-install-editor-*` script, so install does not create a `sublime_text` wrapper either.

### Steps to reproduce

1. Install from **Install → Editor → Sublime Text** (package `sublime-text-4`).
2. Open **Setup → Defaults → Editor**.
3. Sublime Text is missing; only editors whose exact command is on `PATH` appear (Neovim / `nvim` in this case).
4. `omarchy-cmd-present sublime_text` exits 1; `omarchy-cmd-present subl` exits 0.

### Expected

After installing Sublime from the Omarchy menu, it should appear in Defaults → Editor, and choosing it should make `omarchy-launch-editor` open Sublime.

### Suggested fix

Keep `sublime_text` as the desktop-file id for `gtk-launch`, but treat `subl` as the PATH command (or install a `sublime_text` symlink/wrapper onto `PATH` as part of the Sublime install). `omarchy-default-editor` / `omarchy-launch-editor` need to use a command that actually exists after `sublime-text-4` is installed.

Related but distinct: #7810 (setting a GUI default editor does not update XDG MIME defaults).

`omarchy-debug --no-sudo --print` captured locally at `/tmp/omarchy-debug.log` (Omarchy 4.0.1-1). Happy to attach it if useful; the mismatch above reproduces from the package file list without extra logs.