feat(booth): refusal snapshots, subscriber access medium, one-car-one-ticket entry

Three booth-integrity improvements that share the entry/exit flows and activity log.

Refusal snapshots: previously only an accepted open captured a camera image; now
every refusal/hold anomaly fires the directional camera too (a turned-away car is
exactly the evidence wanted) — entry refused-full/held, exit refused
closed/no-session/unpaid/grace-expired (booth + reader paths), refused subscription.
A refused entry has no ticket id, so a synthetic REFUSED- ref keys the anomaly + photo
together. Same fire-and-forget contract; failed captures still show as tiles.

Subscriber access medium: the subscription flow already signed `via`
(qr|card|plate) into entry/exit payloads; surface it as a typed LedgerPayload.via, a
cyan chip in the ticker, and an "Entry medium" modal row (sq+en). Display-only.

One car = one ticket: the entry button could be mashed to mint many tickets per car
(corrupting occupancy + enabling ticket-shopping at exit) — the old #inFlight guard
only blocked overlapping presses. Add a per-relay guard configured on the relay spec:
PRESENCE mode (presenceInput ties ticketing to a vehicle loop on a Dingtian input —
one ticket per car, re-armed when the loop clears) or COOLDOWN fallback
(entryCooldownSec) when there's no barrier feedback. A suppressed press is unsigned
device_events telemetry, not a signed anomaly. SetupWizard exposes both fields.
Fail-closed entry and barrier-is-not-a-door invariants untouched; guard state is
in-memory/rebuildable, starts armed after restart.

Wiki: new entry-double-press; updated entry-exit-points, booth-console, index.

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

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

@@ -160,6 +160,10 @@ export const en: Catalog = {
     edRawPayload: "Raw signed payload",
     edOccurrence: "Occurrence id",
     subscriber: "Subscriber",
+    edVia: "Entry medium",
+    viaQr: "QR code",
+    viaCard: "RFID card/chip",
+    viaPlate: "Plate",
   },
   // Localized messages for the signed REASON_CODES (see @parking/shared). Keys MUST
   // match the codes 1:1; {{param}} placeholders are filled from the event's
@@ -286,6 +290,12 @@ 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)",
+    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.",
+    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.",
     addRelay: "+ Add relay",
     whichBarrier: "Which barrier does this device serve?",
     controller: "Controller",