When you right-click on an asset in the library view, it's going to reveals a dropdown menu where you can customize things like name, move, make your video shareable, etc.
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Assets uploaded in Flixier automatically default to private. Assets are only accessible to others if you deliberately change the privacy settings. You're able to see the privacy setting really quickly denoted by the icon.[image here] If it's a globe icon, you'll know it's public; if it's a lock symbol, you know it's private. Once the asset is made public, all your team member can view or use in projects your asset.