feat(booth): overstay sessions, top-up pricing, and session/feed filters

Rework paid-but-grace-expired sessions and add booth filters.

Overstay (was "stuck"):
- Stop silently aging out a paid transient whose walk-back grace lapsed with no
  signed exit. Keep it listed with an OVERSTAY badge — a new parking period began
  (re-parked) or the car is faulty/abandoned; it is not a system fault.
- No free exit: reopenBarrier refuses server-side once a transient's payment grace
  has expired (allow only subscription OR paid-and-within-grace); the UI hides the
  Open-barrier button on overstay rows and routes to the pay/exit modal. Closes a
  hole where a stale payment authorized a free multi-day exit (operator-as-adversary).
- Price the overstay as a NEW period from grace-expiry -> now with its own daily-cap
  ladder, NOT "full stay minus paid" (which a daily cap collapsed to 0 — ticket
  1245791632490 owed ALL 0; now owes its real overstay). quote() gains periodStart +
  overstay; SessionLookup/ActiveSession gain `overstay`. handlePayAndExit charges
  whenever the session is payable (was: only if !alreadyPaid, skipping the overstay).

Filters (new ui/FilterBar): Active Sessions — search + status
(unpaid/paid/exiting/overstay) + transient-vs-subscriber. Live feed — search +
event (entry/exit/pay/void/anomaly) + direction + source (booth=manual vs reader).
All client-side over already-fetched data; matched/total count shown.

i18n parity (sq+en). Wiki: booth-exit-flow updated (overstay model, naming history,
no-free-exit security fix, new-period pricing; open question on grace-renewal noted).

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

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

@@ -59,11 +59,11 @@ export const en: Catalog = {
   devices: {
     footerTitle: "Devices",
     none: "No devices configured.",
-    catAccess: "Barrier",
+    catAccess: "Relay",
     catReader: "Reader",
     catCamera: "Camera",
     catPrinter: "Printer",
-    catVision: "Vision",
+    catVision: "ANPR",
     // Role/direction suffixes for the chip label (e.g. "Reader entry").
     role: {
       entry: "entry",
@@ -101,6 +101,29 @@ export const en: Catalog = {
     activeSessions: "Active sessions",
     insideCount: "inside",
     noActiveSessions: "No active sessions.",
+    noMatch: "No sessions match the filter.",
+    badgeOverstay: "overstay",
+    badgeOverstayTitle:
+      "Paid session. The customer failed to exit during the grace period. A new period began.",
+    // filters
+    filterSearchSessions: "Search ticket / subscriber / plate…",
+    filterSearchFeed: "Search event / identity / plate…",
+    filterAll: "All",
+    fStatusUnpaid: "Unpaid",
+    fStatusPaid: "Paid",
+    fStatusExiting: "Exiting",
+    fStatusOverstay: "Overstay",
+    fKindTransient: "Transient",
+    fKindSubscription: "Subscribers",
+    fDirEntry: "Entry",
+    fDirExit: "Exit",
+    fSrcBooth: "Booth",
+    fSrcReader: "Reader",
+    fEvtEntry: "Entry",
+    fEvtExit: "Exit",
+    fEvtPay: "Pay",
+    fEvtVoid: "Void",
+    fEvtAnomaly: "Anomaly",
     openPayExit: "Open pay / exit",
     openBarrier: "Open barrier",
     openBarrierTitle: "Human-intervention barrier open (audited)",
@@ -523,6 +546,9 @@ export const en: Catalog = {
     statusLabel: "Status",
     paid: "PAID",
     unpaid: "UNPAID",
+    overstay: "OVERSTAY",
+    overstayHint: "Earlier session paid. The customer failed to exit during the grace period. Payment for the new period is required. The total below is the new period's fee.",
+    topUp: "New period due",
     total: "Total",
     noTariff: "no tariff",
     tender: "Tender",

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

@@ -61,11 +61,11 @@ export const sq = {
   devices: {
     footerTitle: "Pajisjet",
     none: "Asnjë pajisje e konfiguruar.",
-    catAccess: "Barriera",
+    catAccess: "Rele",
     catReader: "Lexuesi",
     catCamera: "Kamera",
     catPrinter: "Printer",
-    catVision: "Vizioni",
+    catVision: "ANPR",
     // Role/direction suffixes for the chip label (e.g. "Lexuesi hyrje").
     role: {
       entry: "hyrje",
@@ -103,6 +103,29 @@ export const sq = {
     activeSessions: "Sesionet aktive",
     insideCount: "brenda",
     noActiveSessions: "Asnjë sesion aktiv.",
+    noMatch: "Asnjë rezultat për filtrin.",
+    badgeOverstay: "tej afatit",
+    badgeOverstayTitle:
+      "Sesion i paguar. Klienti nuk doli brënda afatit kohor. Ka filluar një periudhë e re tarifimi.",
+    // filtra
+    filterSearchSessions: "Kërko biletë / abonent / targë…",
+    filterSearchFeed: "Kërko event / identitet / targë…",
+    filterAll: "Të gjitha",
+    fStatusUnpaid: "Papaguar",
+    fStatusPaid: "Paguar",
+    fStatusExiting: "Duke dalë",
+    fStatusOverstay: "Tej afatit",
+    fKindTransient: "Kalimtarë",
+    fKindSubscription: "Abonentë",
+    fDirEntry: "Hyrje",
+    fDirExit: "Dalje",
+    fSrcBooth: "Kabinë",
+    fSrcReader: "Lexues",
+    fEvtEntry: "Hyrje",
+    fEvtExit: "Dalje",
+    fEvtPay: "Pagesë",
+    fEvtVoid: "Anulim",
+    fEvtAnomaly: "Anomali",
     openPayExit: "Hap pagesën / daljen",
     openBarrier: "Hap barrierën",
     openBarrierTitle: "Hap barrierën manualisht",
@@ -537,6 +560,9 @@ export const sq = {
     statusLabel: "Statusi",
     paid: "PAGUAR",
     unpaid: "PAPAGUAR",
+    overstay: "TEJ AFATIT",
+    overstayHint: "Sesion i mëparshëm i paguar. Klienti nuk doli brënda afatit kohor. Kërkohet pagesë për periudhën e re. Totali më poshtë është tarifa e periudhës së re.",
+    topUp: "Periudha e re për pagesë",
     total: "Totali",
     noTariff: "pa tarifë",
     tender: "Mënyra",