Finish live controller UI, audio routing, and precise remapping

[hbashton]

What changed

• adds live selected-controller status, profile, output device, battery, haptics, speaker, microphone, and Audio Haptics state to the modern shell
• adds headset-only AUX routing plus per-app Audio Haptics speaker override behavior and profile warnings
• migrates legacy Game Bar profile-switch settings to the low-latency compatibility path
• adds controller-accurate, shape-clipped remapping for DualShock 4, DualSense, DualSense Edge, Xbox 360, and Switch 2 Pro
• restores independent upper, left, right, and multitouch regions on every Sony touchpad diagram
• recalibrates DualShock 4 and DualSense Edge controls to their rendered artwork, including visible Edge L2/R2 surfaces
• emits a managed-file package manifest so DS4Updater can remove obsolete shipped files safely

Root causes fixed

The editor stall came from synchronous Core Audio enumeration during WPF data binding. Endpoint discovery now runs once off the UI dispatcher and publishes a shared cached snapshot. Remapper misses came from rectangular transparent hit targets, stale coordinates from replaced artwork, and overlapping touchpad regions. Hit testing now uses the same controller-shaped geometry as the highlight, with four non-overlapping touch zones.

Validation

• dotnet build DS4WindowsWPF.sln -c Release --no-restore
• dotnet test DS4WindowsTests/DS4WindowsTests.csproj -c Release -p:Platform=x64 --no-build --filter "Name!=CheckSettingsSave&Name!=CheckJaysProfileRead&Name!=CheckWriteProfile" — 416/416 passed
• x64 publish/package and local scheduled-task startup succeeded
• deployed package DLL hash matches the local publish; one main process plus two expected isolated DualSense audio-pacer helpers are responsive

The three excluded upstream XML snapshot tests still compare against fixtures that predate fields already emitted by the current serializer.