Currently, Daz Studio does not work on Big Sur (Mac OS 11). Downgrading the operating system is one option to continue using Daz Studio; however, another workaround includes Boot Camp.
With Boot Camp, you can install Microsoft Windows 10 on your Mac, then switch between macOS and Windows when restarting your Mac. For more information regarding Bootcamp, refer to the article, "Big Sur Workaround for Daz Studio."
Be on the lookout for upcoming Daz Studio updates for Big Sur users.
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