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/inttest/account_test.go

@@ -154,6 +154,53 @@ func TestProvisionTelegramSeedsNewAccountOnly(t *testing.T) {
 	}
 }
 
+// TestProvisionVKSeedsNewAccountOnly checks VK first contact seeds the new account's
+// language, display name and time zone from the launch fields / detected offset, records
+// the vk identity as confirmed (a platform identity), and never overwrites an existing
+// account on a later launch. It also exercises the widened identities.kind CHECK — a
+// 'vk' row must insert.
+func TestProvisionVKSeedsNewAccountOnly(t *testing.T) {
+	ctx := context.Background()
+	store := account.NewStore(testDB)
+	ext := "vk-" + uuid.NewString()
+
+	acc, created, err := store.ProvisionVK(ctx, ext, "ru", "Иван Петров", "+03:00")
+	if err != nil {
+		t.Fatalf("provision vk: %v", err)
+	}
+	if !created {
+		t.Error("created = false on first contact, want true")
+	}
+	if acc.PreferredLanguage != "ru" {
+		t.Errorf("PreferredLanguage = %q, want ru", acc.PreferredLanguage)
+	}
+	if acc.DisplayName != "Иван Петров" {
+		t.Errorf("DisplayName = %q, want Иван Петров", acc.DisplayName)
+	}
+	if acc.TimeZone != "+03:00" {
+		t.Errorf("TimeZone = %q, want the seeded +03:00", acc.TimeZone)
+	}
+	// A VK identity is a platform identity: confirmed on insert.
+	if !identityConfirmed(t, account.KindVK, ext) {
+		t.Error("vk identity must be confirmed")
+	}
+
+	// A later launch with different fields returns the same account, unchanged.
+	again, created, err := store.ProvisionVK(ctx, ext, "en", "Other Name", "+09:00")
+	if err != nil {
+		t.Fatalf("re-provision vk: %v", err)
+	}
+	if created {
+		t.Error("created = true on a repeat launch, want false")
+	}
+	if again.ID != acc.ID {
+		t.Errorf("re-provision id = %s, want %s", again.ID, acc.ID)
+	}
+	if again.PreferredLanguage != "ru" || again.DisplayName != "Иван Петров" || again.TimeZone != "+03:00" {
+		t.Errorf("existing account overwritten: lang=%q name=%q tz=%q", again.PreferredLanguage, again.DisplayName, again.TimeZone)
+	}
+}
+
 // TestProvisionSeedsTimeZone checks the create-time time-zone seed across paths: a
 // valid detected offset is stored verbatim (even "+00:00", which is deliberately
 // distinct from the unset "UTC" default), a guest is seeded the same way, and a