What is the ruling on working for an economic news satellite channel that will broadcast news about international cinema, specifically in the library section that archives the materials of these programs?

If your work in the library involves supervising forbidden films or facilitating their circulation, then this work is impermissible for you, as it is considered cooperation in sin and transgression. However, if your work is not related to that, then there is no harm in it, but it is preferable to keep away from places where Allah is disobeyed, to avoid being affected by temptations.