fix(home): shrink frame card, three-state status, draggable sheet, label overlap

- HomeView clears the bottom nav so + Add Photo isn't covered.
- Cap large frame-card preview to min(240px, 30dvh) so portrait frames
  no longer dominate the screen at full mobile width.
- Three-state device status — green/Online (recent sync), yellow/Sync
  issue (one window missed), red/Offline (two+ windows missed). Window
  is rotationIntervalMinutes for interval-mode devices, 24h for daily
  wakeHour-mode devices.
- Show last-sync ("synced 2h ago") and next-expected-sync line on the
  large card. wakeHour devices show local-hour ("next sync ~4 AM
  tomorrow") in the device's configured timezone.
- BaseBottomSheet drag-to-dismiss on the handle. Touch and pointer
  events; releases past 80px close the sheet. Snaps back below.
- BaseInput floating label rewrite — taller field, label re-anchors
  to top: 8px when filled/focused so it sits cleanly above the value
  instead of overlapping it.

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>

public/build/index.html

@@ -14,7 +14,7 @@
     <meta name="mobile-web-app-capable" content="yes" />
     <meta name="apple-mobile-web-app-status-bar-style" content="default" />
     <meta name="apple-mobile-web-app-title" content="pictureFrame" />
-    <script type="module" crossorigin src="/build/assets/index-D13oAsTG.js"></script>
+    <script type="module" crossorigin src="/build/assets/index-Dtb3F_Km.js"></script>
     <link rel="modulepreload" crossorigin href="/build/assets/_plugin-vue_export-helper-DVo1OUMD.js">
     <link rel="stylesheet" crossorigin href="/build/assets/index-BlLBHR1q.css">
   </head>