feat(gamepad): DualSense Edge backend — Linux UHID + Windows UMDF (N1)

The plain-DualSense transport + report codec under the Edge USB identity
(054C:0DF2, verbatim 389-byte real-device descriptor cross-checked against
the raw usbmon capture + hhd's production virtual Edge), so the wire back
grips (BTN_PADDLE1..4: Deck L4/L5/R4/R5, Elite P1-P4) land on the Edge's
NATIVE buttons[2] bits instead of the fold/drop policy: PADDLE1/2 -> the
right/left back buttons, PADDLE3/4 -> the right/left Fn buttons (kernel
BTN_TRIGGER_HAPPY1..4 on >= 7.2; SDL/Steam read hidraw on any kernel).

- proto: Edge descriptor + btn2 bits + edge_paddle_bits(), pinned against
  hid-playstation DS_EDGE_BUTTONS_* and SDL_hidapi_ps5 (tests).
- Linux: DsUhidIdentity parameterizes the UHID create; DsEdgeLinuxProto /
  DualSenseEdgeManager. Headless-validated on .21 (7.1): driver=playstation
  binds 0DF2, all 4 input devices created, probe lightbar/player-LED
  feedback round-trips; dualsense-test grew --edge (cycles all 4 paddles).
- Windows: UMDF driver serves device_type=2 (Edge descriptor/attrs/strings,
  DS feature blobs); WinDsIdentity parameterizes the SwDevice profile +
  devtype stamp; DsEdgeWinProto / DualSenseEdgeWindowsManager; INF gains
  pf_dualsenseedge. Driver change => resign + reinstall before on-glass.
- Router: DualSenseEdge arms in route_handle/apply_rich/pump/heartbeat;
  pick_gamepad folds Edge -> itself on linux||windows; degrade_if_no_uhid
  covers it.
- Client (SDL): 054C:0DF2 declares DualSenseEdge (no distinct SDL type);
  Edge physical pads take the raw DS5 effects path; console-UI glyphs =
  Shapes. Apple/Android pickers follow separately.

Verified: .21 clippy -D warnings + 292/0 host tests + on-box UHID bind
smoke; .133 clippy pending in this push.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>

crates/pf-client-core/src/gamepad.rs

@@ -264,6 +264,7 @@ impl PadInfo {
     pub fn kind_label(&self) -> &'static str {
         match self.pref {
             GamepadPref::DualSense => "DualSense",
+            GamepadPref::DualSenseEdge => "DualSense Edge",
             GamepadPref::DualShock4 => "DualShock 4",
             GamepadPref::XboxOne => "Xbox One",
             GamepadPref::SteamDeck => "Steam Deck",
@@ -783,6 +784,12 @@ impl Worker {
         if vid == 0x28DE && matches!(pid, 0x1205 | 0x1102 | 0x1142) {
             pref = GamepadPref::SteamDeck;
         }
+        // The DualSense Edge has no distinct SDL gamepad type either (it reports PS5) — detect by
+        // VID/PID so the host builds the virtual Edge and this pad's back paddles land on native
+        // slots instead of the fold/drop policy.
+        if vid == 0x054C && pid == 0x0DF2 {
+            pref = GamepadPref::DualSenseEdge;
+        }
         let name = self
             .subsystem
             .name_for_id(jid)
@@ -1556,7 +1563,12 @@ impl Worker {
             let Some(slot) = self.slots.iter_mut().find(|s| s.index == idx) else {
                 continue;
             };
-            let is_ds = slot.pref == GamepadPref::DualSense;
+            // A physical Edge takes the same raw DS5 effects packets (SDL's DS5EffectsState_t
+            // layout is shared; SDL keys the enhanced path off the Edge PID itself).
+            let is_ds = matches!(
+                slot.pref,
+                GamepadPref::DualSense | GamepadPref::DualSenseEdge
+            );
             match hid {
                 HidOutput::Led { r, g, b, .. } if is_ds => {
                     let _ = slot.pad.send_effect(&Ds5Feedback::lightbar_packet(r, g, b));