Remove unneeded self.async_write_ha_state() in Blink

[mkmer]

Proposed change

Remove unneeded self.async_write_ha_state() as the coordinator handles this. Also match the async_alarm_disarm()

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 #
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[home-assistant]

Hey there @fronzbot, mind taking a look at this pull request as it has been labeled with an integration (blink) you are listed as a code owner for? Thanks!

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[jpbede]

LGTM. Thanks 👍