Restructure step R: the app is Starsync (dev.foxyz.starsync)

- Linux app id dev.foxyz.starsync, binary starsync; Windows starsync.exe,
  company foxyz; server starsync-server; Dart package starsync; archives
  starsync-<ver>-*.
- 1.2.x compatibility: watch_together and watch-together-server
  launchers (Linux) / copies (Windows) in the archive; the updater
  accepts both names and relaunches the new binary; update.sh/.bat use
  whichever server exists.
- First start copies (never moves) the old support folder and this
  app's Hive boxes out of ~/Documents into <support>/hive; a marker
  makes it run once; AppDirs is a port; settings schema version with
  ordered migrations.
- Launcher entry dev.foxyz.starsync.desktop; the old one removed.
- Repository name and URLs unchanged.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

apps/desktop/lib/src/update/update_controller.dart

@@ -173,6 +173,8 @@ class UpdateController {
     _log.info('updated to ${m.version}, restarting');
     status.value =
         UpdateStatus(UpdatePhase.restarting, manifest: m, canInstall: true);
-    await restart(_exe, launchArgs);
+    // Started by an old name (1.2.x's restart, an old launcher): the new
+    // binary next to it.
+    await restart(relaunchExecutable(_exe), launchArgs);
   }
 }