feat(web): stamp login_events on every gated request

The registration gate, once it resolves the authenticated subject to a tapir
user_id, calls StampLogin (store-throttled to one row per user per day). Best-
effort: a stamp failure is logged and swallowed so it never breaks the request.
This is what makes the read-side Stage-0 usage signal actually accrue.

Tests cover the happy-path stamp, the same-day throttle, and that an
unregistered subject (redirected to /register) is never stamped.

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

internal/web/register_test.go

@@ -7,6 +7,7 @@ import (
 	"strings"
 	"testing"
 
+	"github.com/jackc/pgx/v5/pgxpool"
 	"github.com/stretchr/testify/require"
 )
 
@@ -74,6 +75,48 @@ func TestRegisterCreatesExactlyOneUserAndIdentity(t *testing.T) {
 	require.Equal(t, 1, totalIdents)
 }
 
+// loginEventCount counts login_events for the stub user via the raw pool.
+func loginEventCount(t *testing.T, p *pgxpool.Pool) int {
+	t.Helper()
+	var n int
+	require.NoError(t, p.QueryRow(context.Background(),
+		`SELECT count(*) FROM login_events WHERE user_id = $1`, userID).Scan(&n))
+	return n
+}
+
+// TestGateStampsLoginEventThrottled: a gated request for a registered user stamps
+// exactly one login event, and a same-day repeat is throttled to no new row — the
+// read-side Stage-0 signal flowing from the registration gate.
+func TestGateStampsLoginEventThrottled(t *testing.T) {
+	app := newApp(t) // stubSubject → userID
+	p := rawPool(t)
+	resetDB(t, p)
+	require.Equal(t, 0, loginEventCount(t, p))
+
+	rec := do(t, app, httptest.NewRequest(http.MethodGet, "/", nil))
+	require.Equal(t, http.StatusOK, rec.Code)
+	require.Equal(t, 1, loginEventCount(t, p), "a gated request must stamp one login event")
+
+	do(t, app, httptest.NewRequest(http.MethodGet, "/", nil))
+	require.Equal(t, 1, loginEventCount(t, p), "a same-day repeat must not stamp again")
+}
+
+// TestUnregisteredSubjectIsNotStamped: a subject with no tapir user is redirected
+// to /register and never reaches the stamp (no user_id to attribute it to).
+func TestUnregisteredSubjectIsNotStamped(t *testing.T) {
+	app := newAppAs(t, "unregistered-sub")
+	p := rawPool(t)
+	truncateAll(t, p)
+
+	rec := do(t, app, httptest.NewRequest(http.MethodGet, "/", nil))
+	require.Equal(t, http.StatusFound, rec.Code)
+
+	var n int
+	require.NoError(t, p.QueryRow(context.Background(),
+		`SELECT count(*) FROM login_events`).Scan(&n))
+	require.Equal(t, 0, n, "an unregistered subject must not stamp a login event")
+}
+
 func TestRegisterRejectsMissingFields(t *testing.T) {
 	app := newAppAs(t, "incomplete-subject")
 	truncateAll(t, rawPool(t))