Add Claude integration to dashboard

Add comprehensive Claude Code monitoring and realtime streaming to the K8s dashboard.
Includes API endpoints for health, stats, summary, inventory, and live event streaming.
Frontend provides overview, usage, inventory, debug, and live feed views.

dashboard/internal/api/claude_live_handlers_test.go

@@ -0,0 +1,48 @@
+package api
+
+import (
+	"net/http"
+	"net/http/httptest"
+	"os"
+	"path/filepath"
+	"testing"
+
+	"github.com/go-chi/chi/v5"
+	"github.com/will/k8s-agent-dashboard/internal/claude"
+)
+
+type fakeClaudeDirLoader struct{ dir string }
+
+func (f fakeClaudeDirLoader) ClaudeDir() string { return f.dir }
+func (f fakeClaudeDirLoader) LoadStatsCache() (*claude.StatsCache, error) {
+	return &claude.StatsCache{}, nil
+}
+func (f fakeClaudeDirLoader) ListDir(name string) ([]claude.DirEntry, error) { return nil, nil }
+func (f fakeClaudeDirLoader) FileMeta(relPath string) (claude.FileMeta, error) {
+	return claude.FileMeta{}, nil
+}
+func (f fakeClaudeDirLoader) PathExists(relPath string) bool { return true }
+
+func TestClaudeLiveBacklog_DefaultLimit(t *testing.T) {
+	dir := t.TempDir()
+	p := filepath.Join(dir, "history.jsonl")
+	if err := os.WriteFile(p, []byte("{\"display\":\"/model\"}\n"), 0o600); err != nil {
+		t.Fatalf("write: %v", err)
+	}
+
+	loader := fakeClaudeDirLoader{dir: dir}
+
+	r := chi.NewRouter()
+	r.Get("/api/claude/live/backlog", GetClaudeLiveBacklog(loader))
+
+	req := httptest.NewRequest(http.MethodGet, "/api/claude/live/backlog", nil)
+	w := httptest.NewRecorder()
+	r.ServeHTTP(w, req)
+
+	if w.Code != http.StatusOK {
+		t.Fatalf("status=%d body=%s", w.Code, w.Body.String())
+	}
+	if !jsonContainsKey(w.Body.String(), "events") {
+		t.Fatalf("expected events in response: %s", w.Body.String())
+	}
+}