feat(gateway): unsupported-engine telemetry beacon + Grafana counter

The index.html boot guard now fires a fire-and-forget beacon (POST /telemetry/unsupported)
when it turns a client away on the unsupported-engine screen, so the owner can see — on the
Users dashboard beside "app opens" — how many real clients hit it and on which engines.

- Client: navigator.sendBeacon (fetch fallback) with a localStorage dedup keyed by app version
  + reason + Chromium, so a user reopening the app is one report, not ten.
- Gateway: a new unauthenticated POST /telemetry/unsupported handler (the client never booted,
  so it carries no session), per-IP public-limited and body-capped, mirroring the export-download
  route. It folds the beacon into the OTel counter unsupported_engine_total {reason =
  no_bigint/no_proxy/boot_error/other, chromium}, with reason allow-listed and the Chromium major
  reduced to a bounded range (normalizeUnsupported) so a spoofed beacon cannot inflate the metric
  cardinality; the full user agent is logged, not labelled.
- Caddy: /telemetry/* added to the @gateway matcher (else it falls to the landing catch-all).
- Grafana: two panels on the Scrabble — Users dashboard (by reason, by Chromium major).
- Docs: ARCHITECTURE.md §11.

Tests: recordUnsupportedEngine (metric split), normalizeUnsupported (cardinality bounding), and
the handler route end to end (204 / 405 / counter). go build+vet+test and gofmt clean; ui
check/build/e2e green; the client beacon + dedup verified against a forced hard-gate (BigInt
removed) — one POST, deduped on reopen, correct reason/chromium/version labels.

gateway/internal/connectsrv/metrics.go

@@ -32,6 +32,8 @@ type serverMetrics struct {
 	localColdStart metric.Int64Counter
 	localDictLoad  metric.Int64Counter
 	localPreview   metric.Int64Counter
+	// Clients turned away by the unsupported-engine boot screen (see unsupportedEngineHandler).
+	unsupportedEngine metric.Int64Counter
 }
 
 // newServerMetrics builds the instruments on meter (nil selects a no-op meter),
@@ -63,6 +65,8 @@ func newServerMetrics(meter metric.Meter) *serverMetrics {
 		localColdStart: counterOf(meter, "local_eval_cold_start_total", "App cold starts reported by clients — the denominator for local-move-preview adoption."),
 		localDictLoad:  counterOf(meter, "local_eval_dict_load_total", "Client dictionary loads for the local move preview, by result (fetched, cache_hit or miss)."),
 		localPreview:   counterOf(meter, "local_eval_preview_total", "Client move previews, by path (local on-device, or network fallback)."),
+		unsupportedEngine: counterOf(meter, "unsupported_engine_total",
+			"Clients that hit the unsupported-engine boot screen (the app cannot run), by reason (no_bigint, no_proxy, boot_error, other) and Chromium major — a deduped beacon from the index.html boot guard; the full user agent is logged, not labelled."),
 	}
 
 	gauge, err := meter.Int64ObservableGauge("active_users",
@@ -108,6 +112,16 @@ func (m *serverMetrics) recordBan(ctx context.Context, reason string) {
 	m.banned.Add(ctx, 1, metric.WithAttributes(attribute.String("reason", reason)))
 }
 
+// recordUnsupportedEngine counts one client turned away by the unsupported-engine boot screen,
+// labelled by reason and Chromium major. The caller passes both already reduced to bounded label
+// sets (see normalizeUnsupported) so a spoofed beacon cannot explode the metric cardinality.
+func (m *serverMetrics) recordUnsupportedEngine(ctx context.Context, reason, chromium string) {
+	m.unsupportedEngine.Add(ctx, 1, metric.WithAttributes(
+		attribute.String("reason", reason),
+		attribute.String("chromium", chromium),
+	))
+}
+
 // localEvalReport is the client-reported local move-preview telemetry batch — deltas since
 // the client's previous report. It backs the adoption dashboard: app cold starts vs cached
 // dictionaries vs on-device previews.