The problems of the Western and Moscow Subregional Contest before 2021 (included) can be found in the Yandex Contest System. But I can't find the problems of 2022 and 2023. I can only find problems of Northern/Southern subregional contest 2022/2023 in CF gym.
Edit: Western 2022/2023 use the same problem set as Northern Subregional Contest 2022/2023. What about Moscow subregional Contest 2022/2023?