feat(home): tram arrival widget for Ул. Антонова-Овсеенко

Adds a live transit widget on the home screen showing upcoming trams
at both directions of the stop: toward Новочеркасская (stopID 16226)
and toward пр. Большевиков (stopID 16354).

- /api/transport proxies the СПб ORGP endpoint /stop/{id}/arriving
  (DataTables POST format, JSON response with route number + minutes).
  No auth required, free.
- TransportWidget renders two glassmorphism cards with route badges,
  minutes-to-arrival, wheelchair indicator; imminent (<=2 min) arrivals
  get a colored highlight. Filters to trams 23/27/39; refreshes every 30s.
- Route colors: 23 blue, 27 amber, 39 purple.

app/page.tsx

@@ -9,6 +9,7 @@ import RoomTabs from '@/components/RoomTabs'
 import DeviceCard from '@/components/DeviceCard'
 import CalendarTab from '@/components/CalendarTab'
 import NotesTab from '@/components/NotesTab'
+import TransportWidget from '@/components/TransportWidget'
 import WeatherAnimation from '@/components/WeatherAnimation'
 
 type Tab = 'home' | 'devices' | 'calendar' | 'notes' | 'settings'
@@ -502,6 +503,9 @@ function HomeTab({ weather, sensors }: { weather: WeatherData | null; sensors: S
         </div>
       )}
 
+      {/* Transport: tram arrivals at Ул. Антонова-Овсеенко, both directions */}
+      <TransportWidget />
+
       {/* Two columns: Events + Notes */}
       <div style={{ display: 'grid', gridTemplateColumns: '1fr 1fr', gap: 14, flex: 1, minHeight: 0 }}>