Start ServiceBrowser as soon as possible in zeroconf

[bdraco]

Proposed change

Ensures the cache is being populated as soon as possible so we don't miss other Home Assistant instances in the short window we check for conflicting names.

May help with #50695 but either way this should be more robust.

Type of change

• Dependency upgrade
• Bugfix (non-breaking change which fixes an issue)
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• Breaking change (fix/feature causing existing functionality to break)
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• This PR fixes or closes issue: fixes #
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Checklist

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[bdraco]

We also need to make sure we add _homeassistant._tcp.local. to the types to get all the instances on the network in time before we register