feat: anti-cheat + presence panel + projector view

Refinement pass on top of the validated v1.2 base.

Hardening / quick fixes
- Caddyfile.tpl: CSP / HSTS / X-Frame / Referrer-Policy / Permissions-Policy,
  1 MiB request body cap, X-Forwarded-For pass-through; stock-Caddy compatible.
- auth.py: STUDENT_MAX_AGE 1y -> 30d.
- bootstrap.sh: stage 5 prepends `git config --add safe.directory` so the
  re-bootstrap path no longer 'detected dubious ownership' faults.
- admin.js: drop the misleading `closedPayload?.state || session.state`
  shim; state derives from session only.

Anti-cheat
- New `student_events` audit table; new POST /api/session/{sid}/event for
  blur / visibility_hidden / focus / visibility_visible. quiz.js debounces
  events at 1.5s and uses sendBeacon for visibility_hidden so the event
  survives a navigation. Counts surface in admin presence + CSV export.
- First-claim-wins on join: add_participant raises DuplicateStudentId on
  PK violation; route returns 409 + records a duplicate_join audit event
  with attempted name + IP + UA. Admin dashboard surfaces a per-row red
  badge for hits on real participants and a top-of-page alert for orphan
  attempts.
- DELETE /admin/api/students/{id} as the recovery hatch: clears the
  participant + submissions, kicks active WS sockets so a stale cookie
  cannot continue submitting. quiz.js surfaces the FastAPI detail message
  in the join form so users see the 'already in use' guidance.

Presence panel
- New presence_update WS message; in-process presence map keyed on
  student_id tracks ws_count + last_seen_ms. Admin dashboard renders
  per-student rows: connected/idle/dropped dot, blur+hidden+duplicate
  badges, 'answered current Q' tick, and a clear-student button.

Projector view (public, read-only)
- /projector/?sid=..., GET /api/session/{sid}/projector, WS
  /ws/projector/{sid}. Single self-contained projector_state snapshot
  pushed on every state change. Public leaderboard strips student_id;
  QR rendered server-side as data: URL (CSP-compliant).
- Includes per-Q answer histogram, 8-bucket response-time distribution,
  10-bucket score distribution.
- static/projector.{html,css,js}: editorial-broadside design — masthead,
  registration crosses, conic-gradient countdown ring, SVG stepped-area
  score distribution with median tick, leaderboard row-stagger. Inherits
  light/dark tokens from style.css; honours prefers-reduced-motion. No
  scroll at 1366x768 / 1920x1080 / 3440x1440.

Tests
- tests/test_anti_cheat.py: blur logging + CSV count, unknown-kind 422,
  unauthenticated event 401, duplicate-join 409 + audit, admin
  clear-student happy + 404, server-side submit lockout regression.
- tests/test_projector.py: snapshot shape, leaderboard student_id
  redaction, WS push on state change, 404 for unknown sid, page redirect
  when no sid.
- Existing tests updated for the new presence_update snapshot frame +
  CSV header columns + first-claim-wins refusal of re-key.

57/57 pytest green; smoke-tested locally end-to-end.

app/db.py

@@ -60,6 +60,25 @@ CREATE TABLE IF NOT EXISTS submissions (
 
 CREATE INDEX IF NOT EXISTS idx_submissions_sid_qidx ON submissions(sid, question_idx);
 CREATE INDEX IF NOT EXISTS idx_participants_sid ON participants(sid);
+
+-- Soft-anti-cheat audit + tab-blur trail. Append-only; the admin panel
+-- and CSV export aggregate per-student counts. Kinds in use:
+--   'blur'                 — window blur during a question_open state
+--   'visibility_hidden'    — page tab/window backgrounded
+--   'duplicate_join'       — second-claim attempt on an already-claimed
+--                            student_id; student_id field holds the
+--                            ATTEMPTED id; detail JSON carries IP/UA/name
+CREATE TABLE IF NOT EXISTS student_events (
+    id INTEGER PRIMARY KEY AUTOINCREMENT,
+    sid TEXT NOT NULL,
+    student_id TEXT,
+    question_idx INTEGER,
+    kind TEXT NOT NULL,
+    detail TEXT,
+    ts TIMESTAMP NOT NULL DEFAULT CURRENT_TIMESTAMP
+);
+CREATE INDEX IF NOT EXISTS idx_student_events_sid_student ON student_events(sid, student_id);
+CREATE INDEX IF NOT EXISTS idx_student_events_sid_kind ON student_events(sid, kind);
 """