feat: add database configuration and health check

backend/hermes/app/main.py

@@ -1,5 +1,7 @@
 from fastapi import FastAPI
 
+from app.db.health import check_database
+
 app = FastAPI(
     title="Hermes API",
     version="0.1.0",
@@ -9,9 +11,15 @@ app = FastAPI(
 
 @app.get("/")
 def root():
-    return {"service": "Hermes", "status": "running"}
+    return {
+        "service": "Hermes",
+        "status": "running"
+    }
 
 
 @app.get("/health")
 def health():
-    return {"status": "healthy"}
+    return {
+        "status": "healthy",
+        "database": check_database()
+    }