Move coordinator first refresh in Blink

[mkmer]

Proposed change

Address bug introduced in PR #102536 : Must start the api before attempting to refresh the data.
This should be merged into the next beta release as it is currently broken.

Type of change

• Dependency upgrade
• Bugfix (non-breaking change which fixes an issue)
• New integration (thank you!)
• New feature (which adds functionality to an existing integration)
• Deprecation (breaking change to happen in the future)
• Breaking change (fix/feature causing existing functionality to break)
• Code quality improvements to existing code or addition of tests

Additional information

• This PR fixes or closes issue: fixes #
• This PR is related to issue:
• Link to documentation pull request:

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[home-assistant]

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