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/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)
+			}
+		})
+	}
+}