feat(carwash): Car Wash v1 + per-till shifts + site-level pay-at + till access by module permission

Car Wash — the pilot venue module (wiki/decisions/venue-modules.md):
- Master data (categories × services price matrix) at /setup/carwash; the desk at /wash
  (ticket lookup → order; open queue oldest-first: Done / Paid cash / Paid card / Void;
  Finished list). Orders freeze names + price; their life is signed (carwash_order,
  carwash_payment). Migration 0027.
- Where money is taken is a SITE setting (carwash_config.pay_at, migration 0028, signed
  config_change on a flip) — no per-order radio; a stale client is refused (409).
- Core seams: PayStation charge providers (a booth-paid wash rides the parking payment as
  chargeLines) + applyValidation() shared with the merchant route. A bay-paid, done wash
  signs the $0 parking payment so the exit reader releases the car.
- "Parking discount" modes for the wash: free while the wash runs (+ tolerance) and wash
  price off the fee (floored at 0), resolved at done and anchored at the order's intake
  (the entry-anchored version comped a 74-day stay); typed-amount and percent hidden for
  the wash. Long durations render y/d/h/m.

Tills — a shift belongs to a till, not the site (wiki/concepts/shift.md §Tills):
- TillId booth|carwash; every money event names its till (absent = booth, so the chain
  re-folds identically). ShiftService is per till: single-open, folds, X/Z-reports,
  vouchers, carry-forward. A bay payment needs the carwash shift.
- Working a till needs that till's module permission (manifest tillPermission; 403
  till_forbidden); /api/shift/tills lists only the role's tills.
- Web: ShiftButton per till (header = booth, wash desk = carwash); shift hub lists every
  open shift with till badges + filter; drawer hub switches tills.

Modules: landing per module (index route resolves booth → module landing → shifts →
profile); guards bounce to "/", /booth needs session:read.

Tests: carwash e2e suite (settings, intake, booth/bay paths, modes, void, gate, pay-at
policy, till permissions), 6 per-till shift tests; suite green (1 pre-existing flaky
backup test under the parallel run).

Claude-Session: https://claude.ai/code/session_01FWncR69HgGPuei1dLrW3cU

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

@@ -64,13 +64,74 @@ export const en: Catalog = {
     name: {
       parking: "Parking",
       validation: "Merchant validations (Bar)",
+      carwash: "Car wash",
     },
   },
+  wash: {
+    tillTitle: "Wash till",
+    tillHint: "Money taken at the bay is recorded on the wash till — open your wash shift first. The booth's shift does not cover it.",
+    tillOtherHint: "{{operator}} holds the wash shift; only they can take money at the bay.",
+    drawerNow: "Wash drawer now",
+    intake: "New wash",
+    ticketPh: "Parking ticket (scan or type)",
+    lookup: "Look up",
+    notFound: "No session for this ticket.",
+    closed: "This session is already closed.",
+    ticket: "Ticket",
+    plate: "Plate",
+    enteredAt: "Entered",
+    alreadyOpen: "This ticket already has an open wash order.",
+    category: "Vehicle category",
+    service: "Service",
+    price: "Price",
+    noPrice: "no price set for this pair",
+    payAt: "Payment",
+    payAtBooth: "At the booth",
+    payAtBay: "At the bay",
+    payAtBoothHint: "Added to the parking settlement; the exit barrier opens after the booth payment.",
+    payAtBayHint: "You take the money here; the customer leaves by scanning the ticket at the exit reader (the parking sponsorship must cover the fee).",
+    create: "Create order",
+    created: "Order created.",
+    queue: "Open orders",
+    empty: "Nothing to wash.",
+    time: "Time",
+    what: "Wash",
+    status: "Status",
+    statusOpen: "in progress",
+    statusDone: "done",
+    paid: "paid",
+    unpaid: "unpaid",
+    done: "Done",
+    payCash: "Paid cash",
+    payCard: "Paid card",
+    void: "Void",
+    voidReason: "Reason",
+    categories: "Vehicle categories",
+    services: "Services",
+    prices: "Prices",
+    pricesHint: "One price per category × service. Leave a cell blank to make that pair unsellable.",
+    addCategory: "category",
+    addService: "service",
+    active: "active",
+    save: "Save",
+    saved: "Saved.",
+    finished: "Finished",
+    finishedEmpty: "No finished washes yet.",
+    voided: "voided",
+    by: "By",
+    cash: "cash",
+    card: "card",
+    sponsorship: "Parking discount",
+    sponsorshipHint: "What a finished wash takes off the customer's parking fee. Applied automatically when a wash is marked done.",
+    sponsorshipLabel: "Car wash",
+  },
   update: {
     available: "Update available",
     prompt: "Version {{version}} is available. Install now and restart? (Installing requires the administrator password.)",
   },
   nav: {
+    wash: "Car wash",
+    carwash: "Car wash",
     booth: "Booth",
     shift: "Shift",
     setup: "Setup",
@@ -256,6 +317,9 @@ export const en: Catalog = {
     evtCashReview: "REVIEW",
     evtConfigChange: "CONFIG",
     evtValidation: "VALIDATION",
+    evtCarwashOrder: "CAR WASH",
+    evtCarwashPayment: "WASH PAYMENT",
+    charges: "Extra charges",
     decision: { authorize: "authorized", deny: "denied" },
     evtAnomaly: "ANOMALY",
     evtRefused: "REFUSED",
@@ -775,6 +839,11 @@ export const en: Catalog = {
     modeTimeCredit: "First minutes free",
     modeFixed: "Amount off (typed at scan)",
     modePercent: "Percent off",
+    modeDoneTolerance: "Free while the wash runs (+ tolerance)",
+    modeDoneToleranceHint: "The time from the wash order to \"done\", plus the tolerance minutes, comes off the parking. Time parked before the order and after the tolerance is charged at the tariff.",
+    modeWashPrice: "Wash price off the parking fee",
+    modeWashPriceHint: "The parking fee minus the wash price; never below zero.",
+    toleranceMinutes: "Tolerance after done (minutes)",
     minutes: "Free minutes",
     percent: "Percent (%)",
     maxAmount: "Cap per validation",
@@ -903,6 +972,18 @@ export const en: Catalog = {
       "{{operator}} has an open shift. Only one shift may be open at a time — they must close theirs before you can open yours.",
     openNow: "Open shift now",
     opening: "Opening…",
+    // Tills — a shift belongs to a drawer (booth / wash desk), not the site.
+    tillOpen: "Open {{till}} shift",
+    tillClose: "Close {{till}} shift",
+    tillHeldByShort: "{{till}}: {{operator}}",
+    tillNoShift: "No {{till}} shift",
+  },
+  till: {
+    booth: "Booth",
+    carwash: "Wash",
+    boothLong: "Booth till",
+    carwashLong: "Wash till",
+    all: "All tills",
   },
   shifts: {
     title: "Shift history",