### First issue

In the scenario where you have an API key configured in Zed and you run
`/logout`, clicking on `Use Anthropic API Key` would show `Method not
implemented`.

This happened because we were only intercepting the `Use Anthropic API
Key` click if the provider was NOT authenticated, which would not be the
case when the user has an API key set.

### Second issue

When clicking on `Reset API Key` the modal would be dismissed even
though you picked no Authentication Method (which means you still would
be unauthenticated)

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This PR fixes both of these issues

Release Notes:

- N/A