feat(vk): embed the game as a VK Mini App

Mirror the Telegram Mini App wrapper for VK: the SPA loads at a new /vk/
entry, authenticates from VK's signed launch parameters, and provisions a
'vk' platform identity — the minimum to run the game in VK test mode.

- Gateway verifies the launch signature in-process (internal/vkauth:
  HMAC-SHA256 over the sorted vk_* params under GATEWAY_VK_APP_SECRET,
  base64url) — a pure offline check, no side-service. New auth.vk op
  (gated on the secret), backendclient.VKAuth, /vk/ SPA mount.
- Backend: KindVK + ProvisionVK/vkSeed, /sessions/vk handler, identity
  kind widened to include 'vk' (migration 00005, expand-contract).
- UI: src/lib/vk.ts (VK Bridge, lazy-imported), bootVK + the /vk/ boot
  dispatch, encodeVKLogin + authVK across transport/client/mock. VK omits
  the name from the signed params, so the client reads it via
  VKWebAppGetUserInfo as an unsigned display seed.
- Deploy: /vk in the edge Caddyfile, GATEWAY_VK_APP_SECRET wired through
  compose + .env.example + CI (TEST_) + prod-deploy (PROD_).
- Admin console: surface the VK user id (link to the VK profile) next to
  the Telegram id on the user card.
- Docs: ARCHITECTURE §12/§13, FUNCTIONAL (+ _ru), gateway README; VK
  integration reference under .claude/.

Signature algorithm verified against dev.vk.com plus independent Node/Python
references and a %2C edge-case vector.

backend/internal/account/account.go

@@ -22,12 +22,13 @@ import (
 	"scrabble/backend/internal/postgres/jet/backend/table"
 )
 
-// Identity kinds recognised by the backend. Email is modelled as an identity
-// alongside platform identities; its confirmed flag is driven by the email
-// confirm-code flow. Robot is a synthetic kind: each pooled
-// robot opponent is a durable account bound to one robot identity.
+// Identity kinds recognised by the backend. Telegram and VK are platform identities,
+// auto-confirmed on first contact. Email is modelled as an identity alongside them; its
+// confirmed flag is driven by the email confirm-code flow. Robot is a synthetic kind:
+// each pooled robot opponent is a durable account bound to one robot identity.
 const (
 	KindTelegram = "telegram"
+	KindVK       = "vk"
 	KindEmail    = "email"
 	KindRobot    = "robot"
 )
@@ -185,6 +186,28 @@ func (s *Store) ProvisionTelegram(ctx context.Context, externalID, languageCode,
 	return acc, created, err
 }
 
+// ProvisionVK provisions (or finds) the account bound to a VK identity, reporting
+// whether this call created it (first contact). On first contact only, it seeds the new
+// account's preferred language from the VK languageCode (vk_language, when it maps to a
+// supported language) and its display name sanitized from displayName — the name read
+// client-side via VKWebAppGetUserInfo, since VK omits it from the signed launch params —
+// falling back to a generated placeholder when it yields no letters; an already-existing
+// account is returned unchanged, so a later profile edit is never overwritten.
+func (s *Store) ProvisionVK(ctx context.Context, externalID, languageCode, displayName, browserTZ string) (Account, bool, error) {
+	// Pre-check whether the identity already exists so the caller can act on first
+	// contact (mirrors ProvisionTelegram); a create race only mis-reports created for
+	// that one call.
+	_, err := s.findByIdentity(ctx, KindVK, externalID)
+	created := errors.Is(err, ErrNotFound)
+	if err != nil && !created {
+		return Account{}, false, err
+	}
+	seed := vkSeed(languageCode, displayName)
+	seed.timeZone = seedZone(browserTZ)
+	acc, err := s.provision(ctx, KindVK, externalID, seed)
+	return acc, created, err
+}
+
 // provision finds the account for (kind, externalID) or creates it with seed,
 // collapsing a concurrent-create race on the identity unique constraint into a
 // re-read of the winner's account.
@@ -258,6 +281,24 @@ func telegramSeed(languageCode, username, firstName string) provisionSeed {
 	return seed
 }
 
+// vkSeed derives the create-time seed from VK launch fields: a supported preferred
+// language from languageCode (vk_language, normally a 2-letter code) and a display name
+// from displayName (sanitized to the editable format), falling back to a generated
+// placeholder in the seeded language when the name yields no usable letters. Unlike
+// telegramSeed there is no @username fallback — VK provides only the name.
+func vkSeed(languageCode, displayName string) provisionSeed {
+	var seed provisionSeed
+	if lang, _, _ := strings.Cut(strings.ToLower(strings.TrimSpace(languageCode)), "-"); lang == "en" || lang == "ru" {
+		seed.preferredLanguage = lang
+	}
+	name := sanitizeDisplayName(displayName)
+	if name == "" {
+		name = placeholderDisplayName(seed.preferredLanguage)
+	}
+	seed.displayName = name
+	return seed
+}
+
 // GetByID loads the account identified by id, or ErrNotFound when it is absent.
 func (s *Store) GetByID(ctx context.Context, id uuid.UUID) (Account, error) {
 	stmt := postgres.SELECT(table.Accounts.AllColumns).
@@ -421,7 +462,7 @@ func (s *Store) create(ctx context.Context, kind, externalID string, seed provis
 			table.Identities.Kind,
 			table.Identities.ExternalID,
 			table.Identities.Confirmed,
-		).VALUES(identityID, accountID, kind, externalID, kind == KindTelegram)
+		).VALUES(identityID, accountID, kind, externalID, kind == KindTelegram || kind == KindVK)
 		if _, err := insertIdentity.ExecContext(ctx, tx); err != nil {
 			return err
 		}

backend/internal/account/provision_test.go

@@ -75,3 +75,55 @@ func TestTelegramSeedTruncatesLongName(t *testing.T) {
 		t.Errorf("display name rune count = %d, want %d", n, maxDisplayName)
 	}
 }
+
+// TestVKSeed covers the pure mapping from VK launch fields to the create-time account
+// seed: supported-language detection from vk_language (bare and region-tagged) and the
+// display name sanitized from the client-supplied name. Unlike Telegram there is no
+// @username fallback — VK provides only the name.
+func TestVKSeed(t *testing.T) {
+	cases := map[string]struct {
+		languageCode, displayName string
+		wantLang, wantName        string
+	}{
+		"ru bare":          {"ru", "Иван", "ru", "Иван"},
+		"en region-tagged": {"en-US", "John", "en", "John"},
+		"full name kept":   {"ru", "Иван Петров", "ru", "Иван Петров"},
+		"unknown language": {"uk", "Тарас", "", "Тарас"},
+		"empty language":   {"", "Neo", "", "Neo"},
+		"trimmed":          {" RU ", "  Anna  ", "ru", "Anna"},
+		"emoji stripped":   {"en", "🎮Kaya🎮", "en", "Kaya"},
+	}
+	for name, tc := range cases {
+		t.Run(name, func(t *testing.T) {
+			got := vkSeed(tc.languageCode, tc.displayName)
+			if got.preferredLanguage != tc.wantLang {
+				t.Errorf("preferredLanguage = %q, want %q", got.preferredLanguage, tc.wantLang)
+			}
+			if got.displayName != tc.wantName {
+				t.Errorf("displayName = %q, want %q", got.displayName, tc.wantName)
+			}
+		})
+	}
+}
+
+// TestVKSeedPlaceholder checks a VK name with no usable letters falls back to a
+// generated placeholder in the seeded language ("Player-NNNNN" / "Игрок-NNNNN").
+func TestVKSeedPlaceholder(t *testing.T) {
+	cases := map[string]struct {
+		languageCode, displayName string
+		wantRe                    string
+	}{
+		"en empty":     {"en", "", `^Player-\d{5}$`},
+		"ru empty":     {"ru", "", `^Игрок-\d{5}$`},
+		"default en":   {"uk", "", `^Player-\d{5}$`},
+		"name garbage": {"ru", "123!@#", `^Игрок-\d{5}$`},
+	}
+	for name, tc := range cases {
+		t.Run(name, func(t *testing.T) {
+			got := vkSeed(tc.languageCode, tc.displayName).displayName
+			if !regexp.MustCompile(tc.wantRe).MatchString(got) {
+				t.Errorf("displayName = %q, want match %s", got, tc.wantRe)
+			}
+		})
+	}
+}