1.16 release was published last week and as mentioned in
the announcement, the release is not enabled on the auto update channel yet. Once a release is published on GitHub, we usually wait for a few days before enabling the version for auto update. Please watch this space for an update on when auto update is enabled for 1.16.
In the meantime, please feel free to manually download 1.16 from the GitHub release page -
https://github.com/rancher-sandbox/rancher-desktop/releases/tag/v1.16.0