feat(android): connected-controllers debug view (Settings → Host)

The client end of the "host doesn't see my gamepad" triage chain: a
new ControllersScreen lists every InputDevice Android classifies as a
gamepad/joystick (name, VID:PID, source classes, the punktfunk pad
type it resolves to, rumble test) plus an "Other input devices"
section — a pad behind a BT→USB adapter (the Pico 2W tester case)
often enumerates with the adapter's identity or not as a gamepad at
all, and this makes that visible on the device instead of over a bug
report. A live input test (button chips + axis bars + raw last-keycode
line) consumes pad events via new MainActivity probe hooks ahead of
the focus-nav remap; hold B 1.2s to exit since the pad can't reach the
toggle while captured. Gamepad grows pads()/isPad() (firstPad
generalized).

Kotlin compiles green (kit + app); on-device validation pending.

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

clients/android/kit/src/main/kotlin/io/unom/punktfunk/kit/Gamepad.kt

@@ -98,20 +98,20 @@ object Gamepad {
         }
     }
 
-    /** First connected gamepad/joystick [InputDevice], or null when none is attached. */
-    fun firstPad(): InputDevice? {
-        for (id in InputDevice.getDeviceIds()) {
-            val d = InputDevice.getDevice(id) ?: continue
-            val s = d.sources
-            if (s and InputDevice.SOURCE_GAMEPAD == InputDevice.SOURCE_GAMEPAD ||
-                s and InputDevice.SOURCE_JOYSTICK == InputDevice.SOURCE_JOYSTICK
-            ) {
-                return d
-            }
-        }
-        return null
+    /** True when [dev]'s source classes include gamepad or joystick. */
+    fun isPad(dev: InputDevice?): Boolean {
+        val s = dev?.sources ?: return false
+        return s and InputDevice.SOURCE_GAMEPAD == InputDevice.SOURCE_GAMEPAD ||
+            s and InputDevice.SOURCE_JOYSTICK == InputDevice.SOURCE_JOYSTICK
     }
 
+    /** All connected gamepad/joystick [InputDevice]s, in system enumeration order. */
+    fun pads(): List<InputDevice> =
+        InputDevice.getDeviceIds().toList().mapNotNull { InputDevice.getDevice(it) }.filter { isPad(it) }
+
+    /** First connected gamepad/joystick [InputDevice], or null when none is attached. */
+    fun firstPad(): InputDevice? = pads().firstOrNull()
+
     /**
      * The [GamepadPref] wire byte to send for the user's [setting] (the persisted gamepad index). A
      * non-Auto setting is passed through unchanged; "Automatic" ([PREF_AUTO]) resolves to a concrete