Fix desktop tray unread indicator: clear only on genuine room entry

The tray indicator must stay visible while a message is unread and
clear only when the user actually opens the room containing it --
never merely because the window was shown, focused, restored, or
opened from the tray.

Adds window.dsDesktop.roomOpened() (called exactly once per genuine
transition to a real room id, via useDesktopRoomBridge) and wires up
window.dsDesktop.setUnreadCount() (declared but never actually called
before this) to fire whenever the unread-room count changes. Both are
no-ops in browser builds, matching this bridge's existing optional-
chaining convention.

Frontend unread state stays authoritative -- clearRoomIndicators is
pulled out of ChatShellPage as a pure function (same behavior, now
directly testable) so opening one room only clears that room's
unread/mention flags, leaving every other room's state untouched.

Also adds a frontend test runner (vitest + React Testing Library) --
none existed in this project before. 10 new tests cover: roomOpened
firing once on entry, not refiring on an unrelated rerender with the
same room id, refiring on a genuine room-to-room transition, never
firing with no room id, setUnreadCount firing independently of
roomOpened, clearing one room preserving every other room's unread
state, and the desktop bridge remaining fully optional.

Co-Authored-By: Claude Sonnet 5 <noreply@anthropic.com>

frontend/package.json

@@ -8,7 +8,8 @@
     "dev": "vite",
     "build": "tsc -b && vite build",
     "lint": "oxlint",
-    "preview": "vite preview"
+    "preview": "vite preview",
+    "test": "vitest run"
   },
   "dependencies": {
     "markdown-to-jsx": "^9.10.2",
@@ -18,13 +19,16 @@
     "vite-plugin-pwa": "^1.3.0"
   },
   "devDependencies": {
+    "@testing-library/react": "^16.3.3",
     "@types/node": "^24.13.3",
     "@types/react": "^19.2.17",
     "@types/react-dom": "^19.2.3",
     "@vitejs/plugin-react": "^6.0.4",
+    "jsdom": "^30.1.1",
     "oxlint": "^1.75.0",
     "typescript": "~6.0.2",
     "vite": "^8.2.0",
+    "vitest": "^5.0.2",
     "workbox-cacheable-response": "^7.4.1",
     "workbox-expiration": "^7.4.1",
     "workbox-precaching": "^7.4.1",