## What happened

The screensaver was launched by an idle cycle. Enabling Stay Awake during that cycle cancelled the cycle, but the screensaver window stayed open for about ten hours. The lock never ran, and the screensaver was still up when I came back to the machine.

Journal from `omarchy-shell` (times local, Oct 3):

```
12:30:23  idle-monitor: idle
12:30:23  idle-cycle-start: screensaver=150 lock=300
12:30:23  process-start: screensaver [[ ... ]] || omarchy-launch-screensaver
12:30:23  idle-monitor: active
12:30:23  idle-monitor-active: screensaver cycle remains armed
12:30:24  process-exit: screensaver exitCode=0 status=0
12:30:24  stay-awake: enabled ipc
12:30:24  idle-cycle-cancel: stay-awake
12:30:24  process-start: wake omarchy-system-wake
...
23:15:15  stay-awake: disabled ipc
```

No `lock-system` event occurs between 12:30 and 23:15.

## Expected

Cancelling an idle cycle should close the screensaver window it launched, so the screensaver does not outlive the cycle.

## Cause

`cancelIdleCycle()` in `shell/plugins/services/idle/Service.qml` stops the screensaver and lock timers and runs `omarchy-system-wake`. It does not close the `org.omarchy.screensaver` terminal. That terminal is started by `hypr_exec` in `omarchy-launch-screensaver`, so nothing in the cancel path owns it. `omarchy-screensaver` only exits on a keypress or a focus change, and enabling Stay Awake triggers neither.

This is from reading the source and the journal timeline above. I have not verified it with a debugger.

## Steps to reproduce

1. Set `idle.screensaver` to 150 and `idle.lock` to 300 in `~/.config/omarchy/shell.json`.
2. Go idle until the screensaver appears.
3. Within the next 150 seconds, enable Stay Awake (`omarchy toggle idle stay-awake`, or the bar indicator).
4. Wait well past 300 seconds. Expected: the screensaver is closed and nothing is locked. Observed: the screensaver window stays up and no lock runs.

## Related

- #12225: the screensaver self-exits and cancels the pending lock. Same `cancelIdleCycle` path, different trigger.
- #12302: stay-awake turned off does not re-arm the idle monitor. Stay-awake state handling, opposite direction.

Neither covers a screensaver window that survives a stay-awake cancel.

## System

- Omarchy 4.0.4-1
- Hyprland (Lua config), Quickshell `omarchy-shell`
- Screensaver terminal: Ghostty (`com.mitchellh.ghostty.desktop`)