Start logbook stream faster

[bdraco]

TODO

• Adjust the tests since the data can come in any order now (there will be a lot of them)

Proposed change

Since the frontend now handles out of order data we can avoid waiting
for the recorder to sync and we can start sending data right away.

The long term goal is to be able to increase the commit interval
without it being noticeable on the frontend. To make that work
we also need

• Streaming history
• History Stats to be aware of the commit interval (this is already a problem which will be worse)

cc @agners since you asked about this

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

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• This PR fixes or closes issue: fixes #
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[probot-home-assistant]

Hey there @home-assistant/core, mind taking a look at this pull request as it has been labeled with an integration (logbook) you are listed as a code owner for? Thanks!
_{^{(message by CodeOwnersMention)}}

[bdraco]

Will come back to this after release and any mop up

[bdraco]

Everything works well. The tests are a bit tricky to fix since the time the data arrives is no longer deterministic

[bdraco]

Unfortunately testing this is turning out to be quite difficult since messages get delivered in any order as soon as they are ready.

[bdraco]

Uncovered lines are not from this PR, but let's try one more time to get a clean CI run before merging