test(handlers): integration tests + recording bot + emulator on CI

Phase 5 of the 2026-05-09 review remediation plan. Closes the
handler-layer test gap (5 modules at 0% coverage in the audit) and
ends the storage-package's CI t.Skip on Firestore emulator tests.

- internal/testutil: Update fixture builders (NewPrivateMessage,
  NewGroupMessage, NewSupergroupMessage, NewChannelMessage) plus a
  RecordingBot that wraps the real go-telegram/bot.Bot with an
  httptest server. The bot library hits the test server instead of
  Telegram; multipart form fields are captured per call. Tests assert
  on Sent() / LastSent() / AssertSentText().
- Handler tests added: misc (4), util (7), wordle (10), loldle (9),
  loldleemoji (8). Cover happy paths, error paths, auth gates,
  group-vs-private subject keying, KV side effects.
- Coverage 44.7% -> 69.8% (verified via -coverprofile). All packages
  now report coverage in CI output.
- CI: ci.yml installs cloud-firestore-emulator beta component and
  starts it on localhost:8090 before go test. Sets
  FIRESTORE_EMULATOR_HOST + GOOGLE_CLOUD_PROJECT env so the storage
  package's emulator-gated tests execute instead of skipping.

go test -race -count=1 ./... clean across all 15 packages locally.

internal/modules/util/handlers_test.go

@@ -0,0 +1,119 @@
+package util_test
+
+import (
+	"context"
+	"strings"
+	"testing"
+
+	"github.com/go-telegram/bot/models"
+
+	"github.com/tiennm99/miti99bot-go/internal/modules"
+	"github.com/tiennm99/miti99bot-go/internal/modules/util"
+	"github.com/tiennm99/miti99bot-go/internal/storage"
+	"github.com/tiennm99/miti99bot-go/internal/testutil"
+)
+
+// installUtil builds a registry with the util module + auth that admits the
+// supplied owner so /stickerid (private) dispatches.
+func installUtil(t *testing.T, ownerID int64) *testutil.RecordingBot {
+	t.Helper()
+	rb := testutil.NewRecordingBot(t)
+	reg, err := modules.Build([]string{"util"},
+		map[string]modules.Factory{"util": util.New},
+		storage.NewMemoryProvider(), nil)
+	if err != nil {
+		t.Fatalf("Build: %v", err)
+	}
+	modules.Install(rb.Bot, reg, modules.Auth{BotOwnerID: ownerID})
+	return rb
+}
+
+func TestInfo_PrivateChat(t *testing.T) {
+	rb := installUtil(t, 0)
+	rb.Bot.ProcessUpdate(context.Background(), testutil.NewPrivateMessage(42, "/info"))
+
+	got := rb.LastSent().Text()
+	for _, want := range []string{"chat id: 42", "thread id: n/a", "sender id: 42"} {
+		if !strings.Contains(got, want) {
+			t.Errorf("info reply missing %q; got %q", want, got)
+		}
+	}
+}
+
+func TestInfo_GroupChat(t *testing.T) {
+	rb := installUtil(t, 0)
+	rb.Bot.ProcessUpdate(context.Background(), testutil.NewGroupMessage(-100, 7, "/info"))
+
+	got := rb.LastSent().Text()
+	for _, want := range []string{"chat id: -100", "sender id: 7"} {
+		if !strings.Contains(got, want) {
+			t.Errorf("info reply missing %q; got %q", want, got)
+		}
+	}
+}
+
+func TestInfo_ChannelMessageNoFrom(t *testing.T) {
+	rb := installUtil(t, 0)
+	rb.Bot.ProcessUpdate(context.Background(), testutil.NewChannelMessage(-200, "/info"))
+
+	got := rb.LastSent().Text()
+	if !strings.Contains(got, "sender id: n/a") {
+		t.Errorf("info channel reply missing 'sender id: n/a'; got %q", got)
+	}
+}
+
+func TestHelp_RendersHTML(t *testing.T) {
+	rb := installUtil(t, 0)
+	rb.Bot.ProcessUpdate(context.Background(), testutil.NewPrivateMessage(1, "/help"))
+
+	calls := rb.Sent()
+	if len(calls) == 0 {
+		t.Fatal("/help produced no reply")
+	}
+	got := calls[len(calls)-1]
+	if got.Form["parse_mode"] != string(models.ParseModeHTML) {
+		t.Errorf("/help parse_mode = %q, want HTML", got.Form["parse_mode"])
+	}
+	if !strings.Contains(got.Text(), "<b>util</b>") {
+		t.Errorf("/help body missing util section; got %q", got.Text())
+	}
+}
+
+func TestStickerID_NoReply_ShowsUsage(t *testing.T) {
+	rb := installUtil(t, 999)
+	rb.Bot.ProcessUpdate(context.Background(), testutil.NewPrivateMessage(999, "/stickerid"))
+
+	got := rb.LastSent().Text()
+	if !strings.Contains(got, "Reply to a sticker") {
+		t.Errorf("stickerid usage missing; got %q", got)
+	}
+}
+
+func TestStickerID_WithStickerReply_EchoesFileID(t *testing.T) {
+	rb := installUtil(t, 999)
+	upd := testutil.NewPrivateMessage(999, "/stickerid")
+	upd.Message.ReplyToMessage = &models.Message{
+		Sticker: &models.Sticker{
+			FileID:       "AAA-file-id",
+			FileUniqueID: "uniq",
+			SetName:      "TestSet",
+			Emoji:        "🎉",
+		},
+	}
+	rb.Bot.ProcessUpdate(context.Background(), upd)
+
+	got := rb.LastSent().Text()
+	for _, want := range []string{"AAA-file-id", "uniq", "TestSet", "🎉"} {
+		if !strings.Contains(got, want) {
+			t.Errorf("stickerid reply missing %q; got %q", want, got)
+		}
+	}
+}
+
+func TestStickerID_DeniedToNonOwner(t *testing.T) {
+	rb := installUtil(t, 999)
+	rb.Bot.ProcessUpdate(context.Background(), testutil.NewPrivateMessage(7, "/stickerid"))
+	if calls := rb.Sent(); len(calls) != 0 {
+		t.Errorf("non-owner /stickerid replied: %+v", calls)
+	}
+}