docs: update documentation and add server schema

- Update CLAUDE.md with server provisioning docs
- Add server tables to schema.sql (cloud_providers, instance_specs, etc.)
- Register manage_server tool in tools/index.ts
- Minor fixes to conversation-service and summary-service

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

schema.sql

@@ -100,3 +100,42 @@ CREATE INDEX IF NOT EXISTS idx_buffer_chat ON message_buffer(user_id, chat_id);
 CREATE INDEX IF NOT EXISTS idx_summary_user ON summaries(user_id, chat_id);
 CREATE INDEX IF NOT EXISTS idx_summary_latest ON summaries(user_id, chat_id, generation DESC);
 CREATE INDEX IF NOT EXISTS idx_users_telegram ON users(telegram_id);
+
+-- 서버 주문 내역 테이블
+CREATE TABLE IF NOT EXISTS server_orders (
+  id INTEGER PRIMARY KEY AUTOINCREMENT,
+  user_id INTEGER NOT NULL,
+  spec_id INTEGER NOT NULL,
+  status TEXT NOT NULL DEFAULT 'pending' CHECK(status IN ('pending', 'provisioning', 'active', 'failed', 'cancelled', 'terminated')),
+  region TEXT NOT NULL,
+  provider_instance_id TEXT,
+  ip_address TEXT,
+  root_password TEXT,
+  price_paid INTEGER NOT NULL,
+  error_message TEXT,
+  provisioned_at DATETIME,
+  terminated_at DATETIME,
+  created_at DATETIME DEFAULT CURRENT_TIMESTAMP,
+  updated_at DATETIME DEFAULT CURRENT_TIMESTAMP,
+  FOREIGN KEY (user_id) REFERENCES users(id)
+);
+
+-- 사용자 서버 소유권 테이블
+CREATE TABLE IF NOT EXISTS user_servers (
+  id INTEGER PRIMARY KEY AUTOINCREMENT,
+  user_id INTEGER NOT NULL,
+  order_id INTEGER UNIQUE NOT NULL,
+  provider_id INTEGER NOT NULL,
+  label TEXT,
+  verified INTEGER DEFAULT 0,
+  created_at DATETIME DEFAULT CURRENT_TIMESTAMP,
+  updated_at DATETIME DEFAULT CURRENT_TIMESTAMP,
+  FOREIGN KEY (user_id) REFERENCES users(id),
+  FOREIGN KEY (order_id) REFERENCES server_orders(id)
+);
+
+-- 서버 관리 인덱스
+CREATE INDEX IF NOT EXISTS idx_server_orders_user ON server_orders(user_id);
+CREATE INDEX IF NOT EXISTS idx_server_orders_status ON server_orders(status, created_at DESC);
+CREATE INDEX IF NOT EXISTS idx_user_servers_user ON user_servers(user_id);
+CREATE INDEX IF NOT EXISTS idx_user_servers_provider ON user_servers(provider_id);