To save moodcase as a web app in your Safari browser on your Mac and thus enable direct access via the dock, you can follow the steps below:

In Safari, open the website you want to use as a web app.

In the Safari menu bar, select "File" and then "Add to Dock". Alternatively, you can click on the "Share" button in the Safari toolbar and then select "Add to Dock".

Enter a name for your web app and click on "Add". The web app will then be saved in the "Applications" folder of your user folder. From there, you can open it via the Dock, Launchpad or Spotlight.

This feature is available from macOS Sonoma and allows you to save websites as web apps independently of Safari, providing an optimized user experience.

With these steps, you can open moodcase quickly and conveniently from your Mac's dock.