What changed

• Overview dashboard polish: permission cards and the device-limit
  upgrade card now show a small title icon; inactive device cards
  collapse to reduce clutter; the upgrade card is full-width.
• Device settings screen split into clean section cards (Noise Control,
  Reactions, Sound, Controls). ANC-with-one-pod is a dedicated toggle.
  The listening-mode cycle row no longer shows Edit/Upgrade chip labels.
• ANC mode and listening-mode settings learned from a device now
  persist across reconnects, so your preferences stick.

Technical Context

• AAP session components were moved into a new engine subpackage under
  pods.core.apple.aap for clearer boundaries; no behavior change.
• DeviceSettingsScreen.kt was broken out from a 1048-line monolith
  into per-section card files and shared components.
• New AapLearnedSettingsPersister captures AllowOffOption and
  ListeningModeCycle off the AAP stream and writes them onto the
  AppleDeviceProfile; on reconnect the profile rehydrates the session.
• Permission-card icons are resolved via a private UI-layer
  Permission.iconVector() mapper; the Permission enum stays free of
  Compose types so JVM tests/non-UI code aren't affected.

Review checklist

• Toggle ANC/Transparency, disconnect, reconnect — the previous
  mode is restored from the stored profile.
• Inactive device cards on the overview collapse and re-expand.
• Permission-card title icons render correctly on both the
  normal and scan-blocking (errorContainer) variants.
• All device-settings sections render without regression on a
  real device (not just previews).