feat(observability): instrument AI + HTTP paths, serve /metrics on a side port (ADR-030, #15)

Wire the metrics package into the live paths and serve it:
- summarizer: per-endpoint latency by model/outcome(success|error|parse_error)/fallback + slog.
- youtube.FetchTranscript: latency by outcome (captions|none|rate_limited) + slog.
- chat: answer latency by model + slog.
- llm usage hook → token counts (prompt|completion) per model, wired in buildSummarizer/buildChat.
- oidc callback: login counter.
- cmdServe: wrap Router in metrics.HTTPMiddleware (request count + latency by bounded
  route pattern) and serve /metrics on TAPIR_METRICS_ADDR (default :9090), a SEPARATE
  port — never on the public app mux.

BDD: observability.feature scenarios un-pended + mapped. TDD: summarizer wiring tested
black-box via the /metrics scrape; metrics-not-on-public-mux asserted.

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

internal/adapters/summarizer/summarizer.go

@@ -13,11 +13,13 @@ import (
 	"encoding/json"
 	"errors"
 	"fmt"
+	"log/slog"
 	"strings"
 	"time"
 	"unicode/utf8"
 
 	"gitea.d-ma.be/mathias/tapir/internal/domain"
+	"gitea.d-ma.be/mathias/tapir/internal/metrics"
 )
 
 // Completer is the minimal LLM chat surface the Summarizer needs.
@@ -95,16 +97,23 @@ func (s *Summarizer) Summarize(ctx context.Context, v domain.Video, t domain.Tra
 
 	var errs []error
 	for i, ep := range s.endpoints {
+		fallback := i > 0
+		start := time.Now()
 		out, err := ep.Client.Complete(ctx, systemPrompt, user)
+		dur := time.Since(start)
 		if err != nil {
+			metrics.ObserveSummarize(ep.Model, "error", fallback, dur)
 			errs = append(errs, fmt.Errorf("%s/%s call: %w", ep.Provider, ep.Model, err))
 			continue
 		}
-		sum, perr := s.build(v, ep, i > 0, out)
+		sum, perr := s.build(v, ep, fallback, out)
 		if perr != nil {
+			metrics.ObserveSummarize(ep.Model, "parse_error", fallback, dur)
 			errs = append(errs, fmt.Errorf("%s/%s output: %w", ep.Provider, ep.Model, perr))
 			continue
 		}
+		metrics.ObserveSummarize(ep.Model, "success", fallback, dur)
+		slog.Default().Info("summarized", "model", ep.Model, "fallback", fallback, "elapsed_ms", dur.Milliseconds())
 		return sum, nil
 	}
 	return domain.Summary{}, fmt.Errorf("summarize: all %d endpoint(s) failed: %w", len(s.endpoints), errors.Join(errs...))

internal/adapters/summarizer/summarizer_test.go

@@ -7,13 +7,36 @@ package summarizer
 import (
 	"context"
 	"errors"
+	"net/http"
+	"net/http/httptest"
 	"strings"
 	"testing"
 
 	"gitea.d-ma.be/mathias/tapir/internal/domain"
+	"gitea.d-ma.be/mathias/tapir/internal/metrics"
 	"gitea.d-ma.be/mathias/tapir/internal/ports"
 )
 
+// TestSummarizerRecordsMetric verifies the summarizer→metrics wiring (ADR-030)
+// black-box: after a successful summarize, the public /metrics scrape shows a
+// success observation for that endpoint's model.
+func TestSummarizerRecordsMetric(t *testing.T) {
+	const model = "metrics-test-model"
+	s := New(Endpoint{Client: &fakeClient{reply: goodReply}, Provider: "local", Model: model}, nil)
+	if _, err := s.Summarize(context.Background(), testVideo(), testTranscript()); err != nil {
+		t.Fatalf("Summarize: %v", err)
+	}
+
+	rec := httptest.NewRecorder()
+	metrics.Handler().ServeHTTP(rec, httptest.NewRequest(http.MethodGet, "/metrics", nil))
+	body := rec.Body.String()
+	if !strings.Contains(body, `tapir_summarize_duration_seconds`) ||
+		!strings.Contains(body, `model="`+model+`"`) ||
+		!strings.Contains(body, `outcome="success"`) {
+		t.Errorf("metrics scrape missing summarize success for %s", model)
+	}
+}
+
 // compile-time check: Summarizer satisfies the port.
 var _ ports.Summarizer = (*Summarizer)(nil)