### What happened

The "Download Video" (yt-dlp, Alt+Shift+D) and "Copy URL" (Alt+Shift+L) extensions load correctly in **Brave Origin** — the keyboard shortcuts show up and are bound in `chrome://extensions/shortcuts` — but pressing either does nothing: no download starts, nothing is copied, no notification appears.

### Root cause

`omarchy-install-chromium-ytdlp` and `omarchy-install-chromium-copy-url` each hard-code a list of browser profile directories to install the native-messaging-host manifest into:

```
browser_dirs=(
  "$HOME/.config/chromium"
  "$HOME/.config/google-chrome"
  "$HOME/.config/google-chrome-beta"
  "$HOME/.config/google-chrome-unstable"
  "$HOME/.config/BraveSoftware/Brave-Browser"
  "$HOME/.config/BraveSoftware/Brave-Browser-Beta"
  "$HOME/.config/BraveSoftware/Brave-Browser-Nightly"
  "$HOME/.config/microsoft-edge"
  "$HOME/.config/microsoft-edge-dev"
)
```

`$HOME/.config/BraveSoftware/Brave-Origin` is missing from both lists, even though `omarchy install browser brave-origin` is a supported option in `omarchy-install-browser` and does add the `--load-extension=...` flags (copy-url, yt-dlp, whatsapp-slim) to `~/.config/brave-origin-flags.conf`.

Net effect: the extensions load and register their keyboard shortcuts in Brave Origin, but `chrome.runtime.sendNativeMessage(...)` has no manifest to resolve, so both commands fail silently (the extension code ignores `chrome.runtime.lastError`).

Confirmed on disk:
```
$ ls ~/.config/BraveSoftware/Brave-Origin/NativeMessagingHosts/
(empty)

$ ls ~/.config/BraveSoftware/Brave-Browser/NativeMessagingHosts/
com.omarchy.copy_url.json  com.omarchy.ytdlp.json
```

### Secondary observation (may be a separate/related typo)

The backfill migration `migrations/1780517689.sh` (adds the yt-dlp `--load-extension` flag to existing flags files) lists `brave-origin-beta` but not plain `brave-origin`:
```
for conf in chromium chrome google-chrome brave brave-beta brave-nightly brave-origin-beta microsoft-edge-stable; do
```
This didn't affect my case (my `brave-origin-flags.conf` already had the extension via a fresh `omarchy install browser brave-origin`), but it means a pre-existing Brave Origin install that predates the yt-dlp extension would never get backfilled either.

### Expected

Both `omarchy-install-chromium-ytdlp` and `omarchy-install-chromium-copy-url` should also populate `$HOME/.config/BraveSoftware/Brave-Origin/NativeMessagingHosts/`, and the migration should include `brave-origin` (not just `brave-origin-beta`).

### Steps to reproduce

1. `omarchy install browser brave-origin`
2. Launch Brave Origin, open any page
3. Press `Alt+Shift+D` (or `Alt+Shift+L`)
4. Nothing happens. Compare `~/.config/BraveSoftware/Brave-Origin/NativeMessagingHosts/` (empty) against `~/.config/BraveSoftware/Brave-Browser/NativeMessagingHosts/` (has both manifests, if Brave proper is also installed)

### Workaround

Manually copy the two native-messaging manifests into the missing directory, substituting `__HOST_PATH__` with the real host script path:
```bash
mkdir -p ~/.config/BraveSoftware/Brave-Origin/NativeMessagingHosts
sed "s|__HOST_PATH__|/usr/share/omarchy/bin/omarchy-chromium-ytdlp-host|g" \
  /usr/share/omarchy/default/chromium/native-messaging-hosts/com.omarchy.ytdlp.json \
  > ~/.config/BraveSoftware/Brave-Origin/NativeMessagingHosts/com.omarchy.ytdlp.json
sed "s|__HOST_PATH__|/usr/share/omarchy/bin/omarchy-chromium-copy-url-host|g" \
  /usr/share/omarchy/default/chromium/native-messaging-hosts/com.omarchy.copy_url.json \
  > ~/.config/BraveSoftware/Brave-Origin/NativeMessagingHosts/com.omarchy.copy_url.json
```
Then fully quit and relaunch Brave Origin.

### System details

- Omarchy: 4.0.4-1
- Kernel: 7.2.5-3-omarchy
- Desktop: Hyprland 0.56.2
- CPU: AMD Ryzen 5 5500U with Radeon Graphics
- GPU: AMD Lucienne (Vega, amdgpu)
- Machine: Lenovo IdeaPad Flex 5 14ALC05
- `brave-origin-bin` 1:1.96.61-1