fix: DB 설정 통일 및 설치 스크립트에 Redis/MySQL 연결 체크 추가

- DB 기본값을 ws.ubuilder.co.kr/mos/jsh로 전체 통일
- context-path /spring → / 로 변경
- install.sh/bat에 Redis 자동 시작, MySQL 연결 확인 단계 추가
- health URL /health → /actuator/health 수정
- 개발환경 가이드 문서 동기화

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

docker-compose.yml

@@ -9,8 +9,8 @@ services:
     environment:
       SPRING_PROFILES_ACTIVE: prod,mysql
       JWT_SECRET: ${JWT_SECRET}
-      SPRING_DATASOURCE_URL: jdbc:mysql://db:3306/wbx_spring?useUnicode=true&characterEncoding=UTF-8&useSSL=false&allowPublicKeyRetrieval=true
-      SPRING_DATASOURCE_USERNAME: wbxapp
+      SPRING_DATASOURCE_URL: jdbc:mysql://db:3306/mos?useUnicode=true&characterEncoding=UTF-8&useSSL=false&allowPublicKeyRetrieval=true
+      SPRING_DATASOURCE_USERNAME: jsh
       SPRING_DATASOURCE_PASSWORD: ${DB_PASSWORD}
       SPRING_DATA_REDIS_HOST: redis
       SERVER_CONTEXT_PATH: ${SERVER_CONTEXT_PATH:-/}
@@ -21,7 +21,7 @@ services:
         condition: service_started
     restart: always
     healthcheck:
-      test: ["CMD", "wget", "-q", "--spider", "http://localhost:8080/health"]
+      test: ["CMD", "wget", "-q", "--spider", "http://localhost:8080/actuator/health"]
       interval: 30s
       timeout: 3s
       retries: 3
@@ -29,8 +29,8 @@ services:
   db:
     image: mysql:8.0
     environment:
-      MYSQL_DATABASE: wbx_spring
-      MYSQL_USER: wbxapp
+      MYSQL_DATABASE: mos
+      MYSQL_USER: jsh
       MYSQL_PASSWORD: ${DB_PASSWORD}
       MYSQL_ROOT_PASSWORD: ${DB_ROOT_PASSWORD}
     ports: