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Installing via Homebrew has the same effect as installing directly from

• https://github.com/3-manifolds/Sage_macOS/releases

It installs a Sage app in your /Applications folder.

One way to use it is then to double-click the resulting app.

Or from the terminal, run

open -a SageMath-10-0

instead of

sage -n

You will then get that nice little window which allows you to start a Jupyter notebook without any errors, in a correct environment, and with no technical gobbledygook such as:

To access the notebook, open this file in a browser:
        file:///Users/culler/Library/Jupyter/runtime/nbserver-9165-open.html
    Or copy and paste one of these URLs:
        http://localhost:8889/?token=ed6fa0329d7e2f9d63bccead1f7404c09ad60a4161ce2105
     or http://127.0.0.1:8889/?token=ed6fa0329d7e2f9d63bccead1f7404c09ad60a4161ce2105

Instead, the notebook manager will just open up in your default browser, ready to run.