Fix bug on failed connections

[ruifigueira]

9219bf6 fixes a bug when a user tries to connect to a failing MCP server:

• it tries to connect but fails as expected
• however, if we try to fix the MCP server URL, it will try to connect again for each update event, instead of only connecting when Connect button is pressed. This also causes the focus to be lost after each keystroke as seen in this video:

Recording2025-06-18.172133.mp4

I also added some playwright tests on 25dbfd9 to test that scenario, but I understand that this requires some infra changes to run those tests, so if you think it's not worth it, it's a matter of dropping that commit.

[changeset-bot]

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Latest commit: 25dbfd9

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commit: 25dbfd9

[threepointone]

Including the tests is fine for now! As long as it doesn't run in CI yet. We can revisit that conversation. Thanks so much for the PR, it lgtm, landing!

[ruifigueira]

It seems that my refactoring on status badge messed css tailwind colors, I'll fix it.