refactor(core): keep plan prices, cloud quotas and public URLs in one contract (WS-A)

Prices, quotas and site URLs were copied by hand into the edge functions,
admin, desktop and the landing site, and the copies disagreed (Payple billed
9,900/29,900 KRW, admin labels said 12,900/24,900 KRW and $9.9/$19.9, the
site said 2,900/8,900 KRW).

- packages/core/src/plan-catalog.ts is the single source for PLAN_PRICE_KRW
  (Free 0 / Pro 2,900 / Pro+ 8,900 a month) and PLAN_QUOTA.
- packages/core/src/web-urls.ts is the single source for the public origin,
  the /app web-app base path, SITE_URLS and billingUrl().
- Deno cannot bundle packages/core, so scripts/ci/sync-core-contract.mjs
  generates _shared/core-contract.generated.ts; `npm run contract:check`
  fails on drift (same pattern as version:sync).
- Payple checkout, renewal and webhook amount checks now bill the catalog
  price, so existing subscribers move to the new price at their next renewal.
  quota.ts, team-contract.ts and the tests read the generated values.
- Admin MRR/ARR is computed in KRW from the catalog; license labels, the
  release link and desktop PREMIUM_LLM limits derive from core; the site
  imports prices and quotas directly.

Policy: docs/REFACTOR_POLICY.md Wave 3, W3-1 and W3-2.

apps/desktop/src/main/services/LicenseService.ts

@@ -20,6 +20,7 @@ import type {
 } from '@d3ro/core/types'
 import { Feature } from '@d3ro/core/types'
 import { normalizeEntitlementTier } from '@d3ro/core/entitlement'
+import { PLAN_QUOTA } from '@d3ro/core/plan-catalog'
 import { verifySignedLicenseKey, createDefaultTrialPayload } from '@d3ro/core/utils/crypto-license'
 
 const logger = getLogger('license')
@@ -56,20 +57,22 @@ function generateMachineId(): string {
 // 클라이언트에서는 PREMIUM_LLM feature로 묶어서 canUse() 체크하고,
 // 실제 모델별 세분화는 서버 llm-proxy가 담당.
 // 여기의 값은 Settings UI 표시용 + upgrade 유도 시점 판단용.
-const QUOTA_LIMITS: Record<LicenseTier, Partial<Record<Feature, number>>> = {
-  free: {
-    // Haiku만, 250/주간. 클라이언트에서는 대략적 일환산(~36/일)으로 표시.
-    [Feature.PREMIUM_LLM]: 250,
-  },
-  pro: {
-    // 모델별: Haiku 1500 + Sonnet 300 + Opus 50 = 합산 표시
-    [Feature.PREMIUM_LLM]: 1850,
-  },
-  pro_plus: {},
-  team: {},
-  enterprise: {},
+// 값의 정본은 @d3ro/core PLAN_QUOTA. PREMIUM_LLM은 모델별 한도의 합으로 표시하고,
+// 한 모델이라도 무제한이면 한도를 두지 않는다(Free는 Haiku 주 250회).
+function premiumLlmLimit(tier: LicenseTier): number | undefined {
+  const quota = PLAN_QUOTA[tier]
+  const models = [quota.llm_haiku, quota.llm_sonnet, quota.llm_opus].filter((q) => q.limit !== 0)
+  if (models.some((q) => q.limit < 0)) return undefined
+  return models.reduce((sum, q) => sum + q.limit, 0)
 }
 
+const QUOTA_LIMITS: Record<LicenseTier, Partial<Record<Feature, number>>> = Object.fromEntries(
+  (['free', 'pro', 'pro_plus', 'team', 'enterprise'] as const).map((tier) => {
+    const limit = premiumLlmLimit(tier)
+    return [tier, limit === undefined ? {} : { [Feature.PREMIUM_LLM]: limit }]
+  }),
+) as Record<LicenseTier, Partial<Record<Feature, number>>>
+
 // ── 기능별 최소 필요 티어 ──────────────────────────────────
 // 빅뱅 Phase 4: 모든 로컬 기능을 'free'로 해방.
 // 클라우드 기능(PREMIUM_LLM, CLOUD_SYNC)만 로그인 요구 + 티어 gate.