fix: healthz 路径改成 /api/v1/healthz(归到 API 前缀下)

backend/app/main.py

@@ -103,7 +103,7 @@ app.include_router(admin.router, prefix=API_PREFIX)
 
 
 # === 健康检查 ===
-@app.get("/healthz", include_in_schema=False)
+@app.get(f"{API_PREFIX}/healthz", include_in_schema=False)
 async def healthz():
     try:
         await get_redis().ping()
@@ -112,6 +112,6 @@ async def healthz():
     return {"status": "ok"}
 
 
-@app.get("/", include_in_schema=False)
+@app.get(f"{API_PREFIX}/", include_in_schema=False)
 async def root():
-    return {"name": "diary-news", "version": app.version, "docs": "/api/docs"}
+    return {"name": "diary-news", "version": app.version, "docs": f"{API_PREFIX}/docs"}