fix: separate live archive snapshots

Parse and expose SessionStatus from the official live feed, treating Started/Resumed as active and terminal or missing statuses as inactive archive candidates.

Keep /api/v1/live/state and SSE snapshot data reserved for active sessions while exposing memory-only last_snapshot, last_positions, and last_snapshot_at for the explicit Live tab archive view.

internal/web/live_archive_test.go

@@ -0,0 +1,90 @@
+package web
+
+import (
+	"encoding/json"
+	"net/http"
+	"net/http/httptest"
+	"testing"
+	"time"
+
+	"github.com/AmanTahiliani/box-box/internal/live"
+)
+
+func TestSSEHubArchivesTerminalSessionSnapshot(t *testing.T) {
+	hub := newSSEHub()
+	now := time.Date(2026, 7, 4, 14, 0, 0, 0, time.UTC)
+	active := live.LiveStreamData{
+		SessionStatus: "Started",
+		Drivers: map[string]live.LiveDriverData{
+			"1": {RacingNumber: "1", Position: 1},
+		},
+		Positions: map[string]live.LivePositionData{
+			"1": {X: 100, Y: -50, Z: 2, Status: "OnTrack"},
+		},
+		PositionUpdated: true,
+		SnapshotUpdated: true,
+	}
+	if state := hub.applySnapshot(active, now); !state.IsLive || state.Data == nil {
+		t.Fatalf("active state = %+v, want live data", state)
+	}
+
+	terminal := active
+	terminal.SessionStatus = "Finished"
+	terminal.Positions = nil
+	terminal.PositionUpdated = false
+	state := hub.applySnapshot(terminal, now.Add(time.Minute))
+
+	if state.IsLive {
+		t.Fatal("terminal SessionStatus should not be live")
+	}
+	if state.Data != nil {
+		t.Fatalf("inactive state data = %+v, want nil", state.Data)
+	}
+	if state.LastSnapshot == nil || state.LastSnapshot.SessionStatus != "Finished" {
+		t.Fatalf("last snapshot = %+v, want terminal snapshot", state.LastSnapshot)
+	}
+	if got := state.LastPositions["1"]; got.X != 100 || got.Status != "OnTrack" {
+		t.Fatalf("last positions = %+v, want carried active positions", state.LastPositions)
+	}
+	if state.LastSnapshotAt == nil || !state.LastSnapshotAt.Equal(now.Add(time.Minute)) {
+		t.Fatalf("last snapshot time = %v, want %v", state.LastSnapshotAt, now.Add(time.Minute))
+	}
+}
+
+func TestHandleLiveStateKeepsArchiveOutOfActiveData(t *testing.T) {
+	hub := newSSEHub()
+	now := time.Date(2026, 7, 4, 14, 0, 0, 0, time.UTC)
+	hub.applySnapshot(live.LiveStreamData{
+		SessionStatus: "Finished",
+		Session:       live.LiveSessionMeta{MeetingName: "British Grand Prix", SessionName: "Race"},
+		Drivers: map[string]live.LiveDriverData{
+			"44": {RacingNumber: "44", Position: 1},
+		},
+		SnapshotUpdated: true,
+	}, now)
+
+	srv := &Server{hub: hub}
+	req := httptest.NewRequest(http.MethodGet, "/api/v1/live/state", nil)
+	rec := httptest.NewRecorder()
+	srv.handleLiveState(rec, req)
+
+	if rec.Code != http.StatusOK {
+		t.Fatalf("status = %d, want 200", rec.Code)
+	}
+	var resp liveStatePayload
+	if err := json.Unmarshal(rec.Body.Bytes(), &resp); err != nil {
+		t.Fatalf("decode response: %v", err)
+	}
+	if resp.IsLive {
+		t.Fatal("archived snapshot should report is_live=false")
+	}
+	if resp.Data != nil {
+		t.Fatalf("archived snapshot leaked into data: %+v", resp.Data)
+	}
+	if resp.LastSnapshot == nil || resp.LastSnapshot.Session.MeetingName != "British Grand Prix" {
+		t.Fatalf("last snapshot = %+v, want archived race", resp.LastSnapshot)
+	}
+	if resp.LastSnapshotAt == nil {
+		t.Fatal("last_snapshot_at should be present for archived snapshots")
+	}
+}