feat: add api liveness and readiness checks

backend/package.json

@@ -26,6 +26,8 @@
     "@nestjs/common": "^11.0.1",
     "@nestjs/core": "^11.0.1",
     "@nestjs/platform-express": "^11.0.1",
+    "ioredis": "^6.0.0",
+    "pg": "^8.23.0",
     "reflect-metadata": "^0.2.2",
     "rxjs": "^7.8.1"
   },
@@ -38,6 +40,7 @@
     "@types/express": "^5.0.0",
     "@types/jest": "^30.0.0",
     "@types/node": "^24.0.0",
+    "@types/pg": "^8.21.0",
     "@types/supertest": "^7.0.0",
     "eslint": "^9.18.0",
     "eslint-config-prettier": "^10.0.1",
@@ -62,8 +65,13 @@
     ],
     "rootDir": ".",
     "testRegex": ".*\\.spec\\.ts$",
-    "testPathIgnorePatterns": ["<rootDir>/node_modules/", "<rootDir>/dist/"],
-    "setupFiles": ["<rootDir>/test/setup-env.ts"],
+    "testPathIgnorePatterns": [
+      "<rootDir>/node_modules/",
+      "<rootDir>/dist/"
+    ],
+    "setupFiles": [
+      "<rootDir>/test/setup-env.ts"
+    ],
     "transform": {
       "^.+\\.(t|j)s$": "ts-jest"
     },