Until the OBS team adds a stable release for Apple Silicon to the official download page, there's a way in which you can download and install the latest build. The OBS Studio development team merged a pull request with code changes to produce universal OBS builds to add native macOS OBS support for Apple Silicon Macs a few months ago, including the latest M1 chips and their arm64 architecture, while maintaining builds that support Intel chips.
Simply download the Apple Silicon installer, and you're good to go! What you needed to do before the official release The OBS development team has officially released OBS Studio 28, which is available for download here.
