feat(devices): radar presence input + button-light output on the controller

Model the entry button (I1) and a Hikvision radar (I2) as named children of the
access controller, and drive the button's 12V lamp on a spare relay.

- Radar = the existing relays[].presenceInput one-car-one-ticket gate, now labelled
  presenceKind: loop|radar. A radar may idle opposite the button, so add a per-input
  active-level override: relays[].presenceActiveLow -> driver inputActiveLow set,
  inverting just that terminal (pure helper inputActive()). The Dingtian has one
  board-wide resting level otherwise.
- AuxOutputDevice.setAux(channel,on) capability on the device interface (Dingtian
  latch) so business logic drives a NON-barrier lamp through the interface. Barriers
  still only pulseOpen — barrier-not-a-door preserved.
- ButtonLightController: subscribes to the radar input edge + the camera lane status
  and drives a 3-state lamp — radar+car=solid, radar-only=blink (~1Hz), else off.
  Fails OFF on host loss/error; de-duped. A radar detection never opens a barrier on
  its own (advisory; threat model).
- SetupWizard: presence kind + active-low + a button-light relay picker; sq+en i18n.

Tests: button-light.test.ts (truth table + blink + fail-OFF + de-dupe),
access-dingtian.test.ts (active-level inversion). Workspace build+lint+test green
(158 server tests). Wiki: hikvision-radar, button-light-indicator + updates.

Claude-Session: https://claude.ai/code/session_01Xcm6ikLgGoCxxHrxtjkk5V

apps/web/src/lib/i18n/en.ts

@@ -361,12 +361,25 @@ export const en: Catalog = {
       "Each relay opens one barrier. Set its direction; for transient entry, set which input terminal the entry button is wired to.",
     relay: "Relay",
     entryButtonTerminal: "Entry button on terminal",
-    presenceInput: "Presence loop (terminal)",
+    presenceInput: "Presence sensor (terminal)",
     presenceInputHint:
-      "Input terminal the vehicle-presence loop / barrier feedback is wired to. When set, exactly ONE ticket issues per car: the button prints only while a car is present, and no second ticket issues until the loop clears (the car drove in) and a new car re-occupies it. Preferred mode.",
+      "Input terminal the vehicle-presence sensor (induction loop or radar) is wired to. When set, exactly ONE ticket issues per car: the button prints only while a car is present, and no second ticket issues until the sensor clears (the car drove in) and a new car re-occupies it. Preferred mode.",
     entryCooldown: "Cooldown after ticket (s)",
     entryCooldownHint:
-      "When there's no presence loop: repeat button presses are suppressed for this many seconds after a ticket. A fallback (not a guarantee) — a determined abuser can wait it out.",
+      "When there's no presence sensor: repeat button presses are suppressed for this many seconds after a ticket. A fallback (not a guarantee) — a determined abuser can wait it out.",
+    presenceKind: "Kind",
+    presenceKindLoop: "Loop",
+    presenceKindRadar: "Radar",
+    presenceActiveLow: "Active-low",
+    presenceActiveLowHint:
+      "Tick if the presence sensor (e.g. a radar) idles HIGH and goes LOW on detection — the opposite of the button. This inverts that terminal's reading so 'present' is read correctly.",
+    buttonLight: "Button light (spare relay)",
+    buttonLightRelay: "Relay",
+    buttonLightHint:
+      "The button's 12 V light on a spare relay. Blinks when the radar detects but the camera doesn't confirm a car; solid on when both confirm; off otherwise.",
+    buttonLightBarrierWarn: "This relay is used by a barrier — pick a spare relay.",
+    blinkOnMs: "Blink on (ms)",
+    blinkOffMs: "Blink off (ms)",
     addRelay: "+ Add relay",
     anpr: "Plate recognition (ANPR)",
     anprHint: