fix: Remove trailing slashes from makers/models routes

FastAPI's redirect_slashes was causing /makers/ to redirect to /makers
which then didn't match the route definition.

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

backend/app/api/cars.py

@@ -123,13 +123,13 @@ def get_cars(
 
 
 # Makers - Must be defined before /{car_id} to avoid route conflict
-@router.get("/makers/", response_model=List[CarMakerResponse])
+@router.get("/makers", response_model=List[CarMakerResponse])
 def get_makers(db: Session = Depends(get_db)):
     """제조사 목록 조회"""
     return db.query(CarMaker).all()
 
 
-@router.post("/makers/", response_model=CarMakerResponse)
+@router.post("/makers", response_model=CarMakerResponse)
 def create_maker(maker_data: CarMakerCreate, db: Session = Depends(get_db)):
     """제조사 등록"""
     existing = db.query(CarMaker).filter(CarMaker.code == maker_data.code).first()
@@ -144,7 +144,7 @@ def create_maker(maker_data: CarMakerCreate, db: Session = Depends(get_db)):
 
 
 # Models - Must be defined before /{car_id} to avoid route conflict
-@router.get("/models/", response_model=List[CarModelResponse])
+@router.get("/models", response_model=List[CarModelResponse])
 def get_models(maker_id: Optional[int] = None, db: Session = Depends(get_db)):
     """모델 목록 조회"""
     query = db.query(CarModel)
@@ -153,7 +153,7 @@ def get_models(maker_id: Optional[int] = None, db: Session = Depends(get_db)):
     return query.all()
 
 
-@router.post("/models/", response_model=CarModelResponse)
+@router.post("/models", response_model=CarModelResponse)
 def create_model(model_data: CarModelCreate, db: Session = Depends(get_db)):
     """모델 등록"""
     existing = db.query(CarModel).filter(

frontend/src/lib/api.ts

@@ -63,13 +63,13 @@ export const carsApi = {
   },
 
   getMakers: async (): Promise<CarMaker[]> => {
-    const { data } = await api.get('/cars/makers/');
+    const { data } = await api.get('/cars/makers');
     return data;
   },
 
   getModels: async (makerId?: number): Promise<CarModel[]> => {
     const params = makerId ? { maker_id: makerId } : {};
-    const { data } = await api.get('/cars/models/', { params });
+    const { data } = await api.get('/cars/models', { params });
     return data;
   },