refactor(desktop): LemonSqueezy API 코드 완전 제거 (~150줄)

- LicenseService: LS API 상수/인터페이스/메서드 4개 삭제
- activate(): 로컬 키 검증 전용으로 단순화
- deactivate(): LS API 호출 제거
- initialize(): _tryPeriodicValidation 제거
- site/ taxNote: LemonSqueezy → Payple (10 locale)

site/src/i18n/locales/de.ts

@@ -97,7 +97,7 @@ export const de: Translations = {
     downloadFree: 'Gratis herunterladen',
     getPro: 'Pro holen',
     getProPlus: 'Pro+ holen',
-    taxNote: 'Alle Preise zzgl. MwSt. Sichere Zahlung uber LemonSqueezy.',
+    taxNote: 'Alle Preise zzgl. MwSt. Sichere Zahlung uber Payple.',
     rows: [
       { feature: 'Sprachdiktat', free: '15/Tag', pro: true, proPlus: true },
       { feature: 'KI-Textkorrektur', free: '3/Tag', pro: true, proPlus: true },

site/src/i18n/locales/en.ts

@@ -97,7 +97,7 @@ export const en: Translations = {
     downloadFree: 'Download Free',
     getPro: 'Get Pro',
     getProPlus: 'Get Pro+',
-    taxNote: 'All prices exclude tax. Secure payment via LemonSqueezy.',
+    taxNote: 'All prices exclude tax. Secure payment via Payple.',
     rows: [
       { feature: 'Voice Dictation', free: '15/day', pro: true, proPlus: true },
       { feature: 'AI Text Polish', free: '3/day', pro: true, proPlus: true },

site/src/i18n/locales/es.ts

@@ -97,7 +97,7 @@ export const es: Translations = {
     downloadFree: 'Descargar gratis',
     getPro: 'Obtener Pro',
     getProPlus: 'Obtener Pro+',
-    taxNote: 'Todos los precios sin impuestos. Pago seguro via LemonSqueezy.',
+    taxNote: 'Todos los precios sin impuestos. Pago seguro via Payple.',
     rows: [
       { feature: 'Dictado por voz', free: '15/dia', pro: true, proPlus: true },
       { feature: 'Pulido con IA', free: '3/dia', pro: true, proPlus: true },

site/src/i18n/locales/fr.ts

@@ -97,7 +97,7 @@ export const fr: Translations = {
     downloadFree: 'Telecharger gratuit',
     getPro: 'Obtenir Pro',
     getProPlus: 'Obtenir Pro+',
-    taxNote: 'Tous les prix hors taxes. Paiement securise via LemonSqueezy.',
+    taxNote: 'Tous les prix hors taxes. Paiement securise via Payple.',
     rows: [
       { feature: 'Dictee vocale', free: '15/jour', pro: true, proPlus: true },
       { feature: 'Correction IA', free: '3/jour', pro: true, proPlus: true },

site/src/i18n/locales/ja.ts

@@ -97,7 +97,7 @@ export const ja: Translations = {
     downloadFree: '無料ダウンロード',
     getPro: 'Proを購入',
     getProPlus: 'Pro+を購入',
-    taxNote: '表示価格は税抜きです。LemonSqueezyによる安全な決済。',
+    taxNote: '表示価格は税抜きです。Paypleによる安全な決済。',
     rows: [
       { feature: '音声ディクテーション', free: '15回/日', pro: true, proPlus: true },
       { feature: 'AIテキスト校正', free: '3回/日', pro: true, proPlus: true },

site/src/i18n/locales/ko.ts

@@ -97,7 +97,7 @@ export const ko: Translations = {
     downloadFree: '무료 다운로드',
     getPro: 'Pro 구매',
     getProPlus: 'Pro+ 구매',
-    taxNote: '모든 가격은 세금 별도입니다. LemonSqueezy를 통한 안전한 결제.',
+    taxNote: '모든 가격은 세금 별도입니다. Payple를 통한 안전한 결제.',
     rows: [
       { feature: '음성 받아쓰기', free: '15회/일', pro: true, proPlus: true },
       { feature: 'AI 텍스트 다듬기', free: '3회/일', pro: true, proPlus: true },

site/src/i18n/locales/pt.ts

@@ -97,7 +97,7 @@ export const pt: Translations = {
     downloadFree: 'Baixar gratis',
     getPro: 'Obter Pro',
     getProPlus: 'Obter Pro+',
-    taxNote: 'Todos os precos excluem impostos. Pagamento seguro via LemonSqueezy.',
+    taxNote: 'Todos os precos excluem impostos. Pagamento seguro via Payple.',
     rows: [
       { feature: 'Ditado por voz', free: '15/dia', pro: true, proPlus: true },
       { feature: 'Polimento com IA', free: '3/dia', pro: true, proPlus: true },

site/src/i18n/locales/ru.ts

@@ -97,7 +97,7 @@ export const ru: Translations = {
     downloadFree: 'Скачать бесплатно',
     getPro: 'Получить Pro',
     getProPlus: 'Получить Pro+',
-    taxNote: 'Все цены без учета налогов. Безопасная оплата через LemonSqueezy.',
+    taxNote: 'Все цены без учета налогов. Безопасная оплата через Payple.',
     rows: [
       { feature: 'Голосовая диктовка', free: '15/день', pro: true, proPlus: true },
       { feature: 'ИИ-корректировка текста', free: '3/день', pro: true, proPlus: true },

site/src/i18n/locales/vi.ts

@@ -97,7 +97,7 @@ export const vi: Translations = {
     downloadFree: 'Tai mien phi',
     getPro: 'Mua Pro',
     getProPlus: 'Mua Pro+',
-    taxNote: 'Tat ca gia chua bao gom thue. Thanh toan an toan qua LemonSqueezy.',
+    taxNote: 'Tat ca gia chua bao gom thue. Thanh toan an toan qua Payple.',
     rows: [
       { feature: 'Chinh ta giong noi', free: '15/ngay', pro: true, proPlus: true },
       { feature: 'Tinh chinh van ban AI', free: '3/ngay', pro: true, proPlus: true },

site/src/i18n/locales/zh.ts

@@ -97,7 +97,7 @@ export const zh: Translations = {
     downloadFree: '免费下载',
     getPro: '获取 Pro',
     getProPlus: '获取 Pro+',
-    taxNote: '所有价格不含税。通过 LemonSqueezy 安全支付。',
+    taxNote: '所有价格不含税。通过 Payple 安全支付。',
     rows: [
       { feature: '语音听写', free: '15次/天', pro: true, proPlus: true },
       { feature: 'AI文本润色', free: '3次/天', pro: true, proPlus: true },