feat(electron): add Windows startup and system tray support (#2112)

Add Windows launch-at-login with background startup support and extend the
native tray integration to Windows.

Add a Windows-only setting to minimize or close the main window to the
system tray, persist it through desktop settings, and expose it in Settings
search and all locale dictionaries.

Keep tray state synchronized with live sessions on both macOS and Windows,
while preserving the existing macOS behavior.

packages/electron/tray.mjs

@@ -1,4 +1,4 @@
-// macOS menu bar (status bar) controller.
+// Native tray/menu bar controller.
 //
 // Surfaces a glanceable, always-visible view of OpenChamber's live state:
 //  1. an aggregate activity indicator (idle / busy / error+retry) in the icon
@@ -17,6 +17,8 @@
 
 import { Tray, Menu, nativeImage } from 'electron';
 
+const isMac = process.platform === 'darwin';
+
 const MAX_SESSIONS = 8;
 const MAX_APPROVALS = 10;
 
@@ -87,7 +89,7 @@ const ANIM_INTERVAL_MS = 75;
 
 const toTemplateImage = (p) => {
   const image = nativeImage.createFromPath(p);
-  image.setTemplateImage(true);
+  if (isMac) image.setTemplateImage(true);
   return image;
 };
 
@@ -99,6 +101,7 @@ export const createTrayController = ({ idleIconPath, unseenIconPath, breathIconP
   let lastTitle = null;
 
   // macOS auto-picks the @2x file next to each path and tints the alpha.
+  // Windows uses the regular app icon and ignores template tinting.
   const idleFrame = toTemplateImage(idleIconPath);
   const unseenFrame = toTemplateImage(unseenIconPath);
   const breathFrames = breathIconPaths.map(toTemplateImage);
@@ -122,6 +125,7 @@ export const createTrayController = ({ idleIconPath, unseenIconPath, breathIconP
 
   const startAnim = () => {
     if (animTimer || !tray || tray.isDestroyed?.()) return;
+    if (breathFrames.length < 2) return;
     animIndex = 0;
     animDir = 1;
     animTimer = setInterval(() => {
@@ -139,7 +143,8 @@ export const createTrayController = ({ idleIconPath, unseenIconPath, breathIconP
     iconState = nextState;
     if (!tray || tray.isDestroyed?.()) return;
     if (nextState === 'busy') {
-      startAnim();
+      if (breathFrames.length > 1) startAnim();
+      else tray.setImage(breathFrames[0] || idleFrame);
     } else if (nextState === 'unseen') {
       stopAnim();
       tray.setImage(unseenFrame);
@@ -153,6 +158,9 @@ export const createTrayController = ({ idleIconPath, unseenIconPath, breathIconP
     if (tray && !tray.isDestroyed?.()) return tray;
     tray = new Tray(idleFrame);
     tray.setIgnoreDoubleClickEvents(true);
+    if (!isMac) {
+      tray.on('click', () => onAction({ type: 'show-main-window' }));
+    }
     return tray;
   };